Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Curriculum Vitae

Jian-Guo Liu

Click here for a printer-ready version, or download as a PDF or Word file.
Box 90320, Durham, NC 27708-0320 (919) 660-2500 (office)
(email)
Education

Ph.D.University of California at Los Angeles1990
M.S.Fudan University (China)1985
B.S.Fudan University (China)1982
Areas of Research

Applied Mathematics, Nonlinear Partial Differential Equations.

Areas of Interest

Collective dynamics, decision making and self-organization in complex systems coming from biology and social sciences,
Scaling behavior in models of clustering and coarsening,
Numerical methods for incompressible viscous flow,
Multiscale Analysis and Computation

Professional Experience / Employment History

Duke University
Professor, Department of Physics and Department of Mathematics, 2009 - present
University of Maryland, College Park
Professor, Department of Mathematics and Institute for Physical Science and Technology, 2001 - 2009
Associate Professor, Department of Mathematics and Institute for Physical Science and Technology, 1997 - 2001
Institute for Advanced Study
Member, January, 1994 - August, 1994
Temple University
Assistant Professor, Department of Mathematics, 1993 - 1997
New York University
Courant Instructor/Visiting Member, Courant Institute of Mathematical Sciences, 1991 - 1993
Mathematical Sciences Research Institute
Postdoctoral Fellow, 1990 - 1991
Visiting Positions
Visiting Member, New York University, 1996 - 1997
Recent Grant Support

  • Collaborative Research: Kinetic Models of Aggregation and Dispersion, National Science Foundation, 2015/07-2018/06.      
Conferences Organized

Organized with Jianfeng Lu a conference Collective Dynamics in Biological and Social Systems, Nov 19 - 22, 2015  
Co-organized SIAM Conference on Analysis of Partial Differential Equations, mini-symposium: Asymptotically Preserving Numerical Methods for Time-Depe, December 2013  
Organizer Committee : IMA Workshop on Analysis and Computation of Incompressible Fluid Flow, Organizer Committee : IMA Workshop on Analysis and Computation of Incompressible Fluid Flow. February 2010, February, 2010  
Organizer Committee, Singapore : Two Month Program on Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design, Organizer Committee, Singapore : Two Month Program on Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design. Jul, July, 2009 - August, 2009  
Co-Chair, "Twelfth International Conference on Hyperbolic Problems Theory, Numerics, Applications'', Maryland, June, 2008  
Organizer Committee, Maryland, CSCAMM Workshop on Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number, October 23, 2006 - October 26, 2006  
Organizing Committee, Singapore, The Nonlinear Partial Differential Equations: Analysis, Numerics and Applications, May, 2005  
Co-Chair, Singapore, Two month program on ``Nanoscale Material Interfaces: Experiment, Theory and Simulation'', November 24, 2004 - January 23, 2005  
Co-Chair, First Singapore Workshop on PDE and Scientific Computing, December, 2004  
Professional Service

A&S Council
Served on dissertation committee for Yuantong Ding, Department of Biology, 2014 - present  
Prelim exam committee for Qiang Ren, Department of Electrical and Computer Engineering, December 2014  
Dept Committee
Prelim committee for Charlio Xu, Mathematics, 2015, 2015 - present  
Prelim committee for Qingtao Sun, Department of Electrical and Computer Engineering, 2015 - present  
Advising Math Major for Yi Chen, 2015 - present  
Advising Math Major for Daniel Ye Zhu, 2015 - present  
Advising Math Major for Yuzhe Shi, 2015 - present  
Chair, committee to revamp the Mathematics departments Numerics Classes, 2015 - present  
Chair, mentoring committee for Barthel, 2015 - present  
ARP appointment committee, Department of Mathematics, 2015 - present  
Chair, Physics Computing Committee, 2015 - present  
Advising Math Major for Mandy Ruigi Jiang, 2014 - present  
Advising Math Major for Duke Kyeom Kim, 2014 - present  
Prelim committee for Hangjie Ji, 1 July 2014  
Member of Physics core course committee, 2013 - present  
Member of Physics Undergraduate Curriculum Committee, 2013 - present  
Math Mentoring, September 1, 2012 - present  
Major advising, January 6, 2012 - present  
Reappointment Committee for Lu, Department of Mathematics, December 2015  
Appointment Committee for Mayboroda, Department of Mathematics, December 2015  
Ph.D. dissertation committee for Ethan Elliott, December 2014  
Ph.D. dissertation committee for Di-Lun Yang, September 1, 2011 - 2014  
Preliminary examination committee for Joey Schmitt, December 2013  
Math honors theses advising for Kara Karpman, December 2013  
Ph.D. defense committee for Luis Tobon, December 2013  
Prepare and grade the assessment exam for Thermal Physics, December 2013  
Graduate assessment committee, Physics, 2011 - 2013  
Ph.D. dissertation committee for Huaixiu Zheng, January 13, 2011 - 2013  
Thesis Defense Committee for Yi Li, November 27, 2012  
Written Analysis Qual Exam Committee, September 1, 2010 - August 31, 2012  
Oral qualifying exam committee for Jingxian Huang, May 5, 2012  
Ph.D. dissertation committee for Chingyun Cheng, March 5, 2012 - 2012  
Preliminary Examination Committee for Chingyun Cheng, Physics, December 2011  
Thesis Defense Committee for Matt Bowen, Mathematics, November 2011  
Chair for Committee to Review Prof. Jim Nolen, Mathematics, November 2011  
Committee to Review Prof. Steffen Bass, Physics, November 2011  
Preliminary Examination Committee for Yi Li, Mathematics, 2010  
Chair, Physics Computing Committee, 2009 - 2010  
ARP committee, December 2009  
Committee for Preliminary Exam for Jiefu Chen, Dept of Electrical and Computer Engineering, November 18, 2009  
Papers Refereed
Served on exterior doctoral committee for Jeff Eisenbesis, Carnegie Mellon University, 2014 - present  
Served on exterior doctoral committee for Wang Nan, National University of Singapore, 2014 - present  
Co-organized SIAM PDE13 mini-symposium: Asymptotically Preserving Numerical Methods for Time-Dependent PDEs, Co-organized SIAM PDE13 mini-symposium: Asymptotically Preserving Numerical Methods for Time-Dependent PDEs. December 22, 2013, 22 December 2013  
Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum, Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum. 2013, 2013 - present  
Refereed for a number of journals, Refereed for a number of journals. 2013, 2013 - present  
Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum, Member of the Steering Committee for the Tsinghua Sanya International Mathematics Forum. 2013, 1 January 2013  
Refereed for a number of journals, Refereed for a number of journals. 2013, 1 January 2013  
Panelist for Yau High School Mathematics Award, 2014  
exterior doctoral committee for Baver Okutmustur, University Paris VI, exterior doctoral committee for Baver Okutmustur, University Paris VI. 2010, 2010  
Served on Panel: National Science Foundation, CFD, 2007, December 2007  
NSF Reviews And Panels
panelist : NSF Numerical Methods (P100833) panel, panelist : NSF Numerical Methods (P100833) panel. March 2010, March, 2010  
Math Community Services
Associated editor for Annals of Mathematical Sciences and Applications, 2015 - present  
Promotion and tenure external evaluators for various universities, Promotion and tenure external evaluators for various universities. July 1, 2012, 1 July 2012  
Managing Editor, "Methods and Applications of Analysis'', 2007 - present  
Managing Editor for "Journal of Hyperbolic Differential Equations'', 2004 - present  
Editorial Board for "Applied Mathematics--A Journal of Chinese Universities'', 2003 - present  
Tutorial Lectures for Program: "Partial Differential Equations in Kinetic Theories", Newton Institute, Cambridge, UK, Tutorial Lectures for Program: "Partial Differential Equations in Kinetic Theories", Newton Institute, Cambridge, UK. August 2010 - September 2010, August-September, 2010  
Editorial Board, "Journal of Information and Computational Science'', 2005 - 2008  
Univ Services
Initialed and signed a MOU between The Math department at Duke and the Mathematical Science Center (MSC), Tsinghua University, July 1, 2013  
Selected Recent Invited Talks

An analysis of merging-splitting group dynamics by Bernstein function theory, Invited talk at conference: Analysis and Computation in Kinetic Theory, Stanford University, Nov 2-6, 2015  
An analysis of merging-splitting group dynamics by Bernstein function theory, Invited talk at conference: Frontiers of Applied and Computational Mathematics, Celebrating Professor Björn Engquist's 70th Birthday, Peking University, China, Aug 7-9, 2015  
An analysis of merging-splitting group dynamics by Bernstein function theory, Invited talk at conference: International Conference on Numerical Partial Differential Equations and Their Applications, Wuhan University, China, May 25-29, 2015  
Euler sprays and optimal transportation, Invited talk at conference: Particle Systems and Partial Differential Equations IV, University of Minho, Braga, Portugal, Dec 16-18, 2015  
Multi-scale hyperbolic relaxation system, kinetic-fluid domain coupling, and singular limit analysis, Invited talk at conference: Asymptotic Preserving and Multiscale Methods for Kinetic and Hyperbolic Problems, University of Wisconsin-Madison, May 4-9, 2015  
Particle, kinetic, and hydrodynamic models of swarming and network traffic models, Invited talk at conference: Groups and interactions in data, networks and biology, Carnegie Mellon University, May 27-29 2015  
Stability of micro-macro decomposition base stochastic Galerkin method for linear transport equation with random inputs and diffusive scalings, Invited talk at conference: Uncertainty quantification in kinetic and hyperbolic problems, University of Wisconsin-Madison, Mar 28 - 31, 2015  
An analysis of merging-splitting group dynamics by Bernstein function theory, Colloquium, Indiana University, October 23, 2015  
Phase transitions and hysteresis for self-organized alignment dynamics, Lefschetz Center for Dynamical Systems Seminar, Brown University, March 02, 2015  
Particle Systems and Partial Differential Equations III, the University of Minho in Braga, Portugal, December, 2014  
An analysis of merging-splitting group dynamics by Bernstein function theory, Northeast Normal University, China, July 28, 2014  
An analysis of merging-splitting group dynamics by Bernstein function theory, Fudan University, China, July 21, 2014  
An analysis of merging-splitting group dynamics by Bernstein function theory, 4th Beijing Normal University-PDE Workshop, July, 2014  
A kinetic mean field game theory for the evolution of wealth, USA Census Bureau, May 13, 2014  
A kinetic mean field game theory for the evolution of wealth, Principal lecturer, Dynamics and Numerics for Non-local PDEs and Related Equations in the Physical and Biological Sciences, NSF-supported Ki-Net Summer School, Iowa State University, May, 2014  
Kinetics, non standard diffusion and stochastics: emerging challenges in the sciences, Austin, May, 2014  
Phase transitions and hysteresis for self-organized alignment dynamics 1 & 2, Principal lecturer, NSF-supported Ki-Net Summer School, Iowa State University, May, 2014  
An analysis of merging-splitting group dynamics by Bernstein function theory, ``Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs'', Maryland, April, 2014  
Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate, ``Asymptotic-Preserving Schemes for Multiscale Kinetic Equations" NCSU, February, 2014  
Coagulation-Fragmentation model without detailed balance for animal group-size statistics, CSCAMM/KI-Net Seminar, University of Maryland, September 11, 2013  
Coagulation-Fragmentation model without detailed balance for animal group-size statistics, Academia Sinica, China, August 08, 2013  
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, 11th workshop on nonlinear PDE, Beijing University of Technology, August, 2013  
The dynamic and steady states for multi-dimensional Keller-Segel model with the diffusion exponent m > 0, Northeast Normal University, Changchun, China, July 26, 2013  
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Seminar of the Institute of Mathematics, Peking University, July 15, 2013  
Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Séminaire de l’équipe MIP, Institut de Mathématiques de Toulouse, Université Paul Sabatier, June 25, 2013  
Global weak solution for kinetic models of active swimming and passive suspensions, The International Conference on Mathematical Modeling and Computation (ICMMC2013), Wuhan Univeristy, May, 2013  
The dynamic and steady states for multi-dimensional Keller-Segel model with the diffusion exponent m>0, PDE seminar, University of Maryland, February 21, 2013  
Phase transitions for self-organized dynamics and sweeping networks, conference on "Transport Models for Collective Dynamics in Biological Systems", NCSU, January, 2013  
Estimate on Laplace-Leray commutator and application to the Navier-Stokes equation in a bounded domain, Seminar, CEREMADE, Université de Paris, Dauphine, France, December 11, 2012  
Phase transition for Smoluchowski equation, Seminar, University of Rennes, France, 22 November 2012  
Global weak solution for kinetic models of active swimming and passive suspensions, seminar of Applied Maths of the Institut de Mathematiques de Toulouse, France, October 09, 2012  
Phase transition of self-alignment in flocking dynamics, "Applied Partial Differential Equations in Physics, Biology and Social Sciences: Classical and Modern Perspectives'', Bellaterra, Spain, September 07, 2012  
Multi-dimensional Keller-Segel model with supercritical diffusion exponent, "2012 International Conference on Applied Mathematics'', Morningside Center of Mathematics, China, August 07, 2012  
Multi-dimensional Keller-Segel model with supercritical diffusion exponent, "One-day workshop on mathematical topics of fluid dynamics'', Academia Sinica, China, July 17, 2012  
Viscek flocking dynamics and phase transition, "14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications'', Università di Padova, Italy, June 28, 2012  
Bacterium swimming, flocking dynamics and phase transition, Math Literature Seminar, Tsinghua, China, June 27, 2012  
Mathematical analysis of flocking dynamics in biology and social science, USA Census Bureau, June 19, 2012  
Convergence of a Particle Method and Global Weak Solutions for a Family of Evolutionary PDEs, Applied and Numerical Analysis Seminar, University of Crete, Greece, December 15, 2011  
Asymptotic-Preserving schemes for kinetic–fluid modeling of disperse two-phase flows, Applied and Numerical Analysis Seminar, University of Crete, Greece, December 8, 2011  
Global weak solution for kinetic models of active swimming and passive suspensions, Colloquium of the Department of Applied Mathematics, University of Crete, Heraklion, Greece, November 23, 2011  
Dynamics of orientational alignment and phase transition, Colloquium, Department of Mathematics, Tulane university, October 20, 2011  
Pressure boundary condition and projection method, "Modern Techniques in the Numerical Solution of Partial Differential Equations'', Crete, Greece, September, 2011  
Hydrodynamics of Vicsek self-alignment interactions, colloquium, Capital Normal University, August 2, 2011  
Multi-dimensional degenerate Keller-Segel system with critical diffusion exponent 2n/(n+2), "International Conference on Applied Mathematics and Statistics'', Renmin University, Beijing, August, 2011  
Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation, Applied math Seminar, Shanghai Jiao Tong University, July 13, 2011  
Dynamics of orientational alignment and phase transition, International Conference on Applied and Computational Mathematics and Interdisciplinary Research, Nankai University, June, 2011  
Dynamics of orientational alignment and phase transition, CSCAMM seminar, University of Maryland, April 20, 2011  
Dynamics of orientational alignment and phase transition, Numerical Methods for PDEs seminar, MIT, April 6, 2011  
Dynamics of orientational alignment and phase transition, Colloquium, Georgetown University, February 11, 2011  
Dynamics of orientational alignment and phase transition, workshop on "Pedestrian Traffic Flow", SAMSI, NC, February, 2011  
Asymptotic-preserving schemes for some kinetic equations, Workshop on "Numerical Methods for stiff problems in Hamiltonian systems and kinetic equations", Saint-Malo, France, January, 2011  
Dynamics of orientational alignment and phase transition, Fifth International Congress of Chinese Mathematicians, Beijing, China, December, 2010  
Modeling and analysis of collective behavior of self-propelled agents, Colloquium, Beijing University of Posts and Telecommunications, December 1, 2010  
Dynamics of orientational alignment and phase transition, Colloquium, Tsinghua University,China, November 18, 2010  
Dynamics of orientational alignment and phase transition, Seminar, Huazhong Normal University, CHina, November 12, 2010  
Estimate on commutator of the Laplacian and Leray projection operators and application to Navier-Stokes equation in bounded domain, Colloquium, Wuhan University, China, November 12, 2010  
Modeling and analysis of collective behavior of self-propelled agents, Seminar, Huazhong University of Science and Technology, November 11, 2010  
Dynamics of orientational alignment and phase transition, Conference on Nonlinear PDEs, Beijing University of Technology, China, November, 2010  
Modeling and analysis of collective behavior of self-propelled agents, Colloquium, Capital Normal University, Beijing, October 19, 2010  
Dynamics of orientational alignment and phase transition, 2010 NIMS Thematic Program Workshop on Conservation Laws, Plasma and Related Fields, Seoul National University, South Korea, October, 2010  
Analysis of dynamics of Doi-Onsager phase transition, Colloquium, Institute of Mathematics, Chinese Academy of Sciences, September 29, 2010  
Analysis of Dynamics of Doi-Onsager Phase Transition, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, September 6, 2010  
Estimate on commutator of the Laplacian and Leray projection operators and application to Navier-Stokes equation in bounded domain, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, September 3, 2010  
Asymptotic-preserving schemes for some kinetic equations, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, August 31, 2010  
Some estimates on collective behavior of self-propelled biological agents, Marketplace of Ideas, Center for Theoretical and Mathematical Science, Duke University, December 3, 2009  
Asymptotic-preserving schemes for fluids equations and kinetic equations, Numerical Analysis Seminar, North Carolina State University, November 17, 2009  
Modeling and analysis of collective behavior of self-propelled agents, Applied Mathematics Seminar, Tulane university, November 6, 2009  
The challenge of simulating fluid flow accurately in the presence of boundaries, Colloquium, Tulane University, November 5, 2009  
Analysis and computation of Navier–Stokes equation in bounded domains, Applied and Computational Analysis Seminar, University of Cambridge, UK, October 5, 2009  
Modeling and analysis of collective behavior of self-propelled agents, Applied Math & PDE Seminar, University of Wisconsin, Madison, September 4, 2009  
Controlling numerical dissipation and time stepping in some multi-scale kinetic/fluid simulations, CSCAMM Workshop on Kinetic Description of Multiscale Phenomena, Maryland, September, 2009  
Modeling and analysis of collective behavior of self-propelled agents, Colloquium, National University of Singapore, August 19, 2009  
Some numerical analysis issues in material and fluids simulations, Workshop on Mathematical Theory and Computational Methods in Materials Sciences, IMS/NUS, Singapore, August, 2009  
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, ICMS Workshop on Kinetic and Mean-field models in the Socio-Economic Sciences, Edinburgh, UK,, July, 2009  
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, Workshop on Kinetics and statistical methods for complex particle systems, Lisbon, Portugal, July, 2009  
Asymptotic-preserving schemes for fluids equations and kinetic equations, Seminaire Methodes Numeriques pour les problemes hyperboliques, Universite Pierre et Marie Curie, France,, June 9, 2009  
The challenge of simulating fluid flow accurately in the presence of boundaries, groupe de travail, Universités Paul Sabatier, France, June 8, 2009  
Pressure and projection methods for viscous incompressible flows, PDE seminar, Oxford University, UK, May 11, 2009  
A new approach in analysis and computation of Navier-Stokes equation in bounded domain, Scientific Computing - Numerical Analysis Seminar, Universite Bordeaux 1, France, March 12, 2009  
The challenge of simulating incompressible fluid flow accurately in the presence of boundaries, Colloquium, Department of Mathematics, Howard University, January 30, 2009  
All speed asymptotic-preserving schemes for compressible flows, Recent Developments in Numerical Methods for Nonlinear Hyperbolic Partial Differential Equations and their Applications, Banff Int'l Research Station for Math Innovation and Discovery, Canada, August, 2008  
A simple proof of Cucker-Smale flocking dynamics and the mean field limit, Applied Math Seminar, National Taiwan University, Taiwan, July 25, 2008  
A simple proof of Cucker-Smale flocking dynamics and the mean field limit}, Applied and Computational Math Seminar, National Tsing Hua University, Taiwan, July 24, 2008  
Mach number uniform asymptotic preserving schemes for fluids and plasmas, Seminar on Applied Mathematics, Inst. of Math., Academia Sinica, Taiwan, July 14, 2008  
The challenge of simulating incompressible fluid flow accurately in the presence of boundaries, Applied and Computational Mathematics Seminar, UNC Charlotte, May 9, 2008  
The challenge of simulating incompressible fluid flow accurately in the presence of boundaries, Physics Colloquium, Duke University, May 6, 2008  
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit,, AMS regional meeting, mini-symposium: "Special Session on Numerical Solution of Partial Differential Equations and Applications", NCSU, April, 2008  
Computation of incompressible flow past a sphere and local behavior of boundary layer separation, CNCS Seminar, Duke University, April 1, 2008  
A simple proof of Cucker-Smale flocking dynamics and the mean field limit, Brown Bag seminar, Duke University, March 21, 2008  
On computation of incompressible flow past a sphere, Seminaire du laboratoire, Laboratoire MIP, Universite Paul Sabatier, Toulouse, France, March 10, 2008  
Finite element Navier-Stokes solvers based on an unconstrained reformulation, Applied Math Seminar, University of Delaware, Newark, March 4, 2008  
Finite element Navier-Stokes solvers based on an unconstrained reformulation, Applied Math & PDE Seminar, University of Wisconsin, Madison, February 22, 2008  
Characterization and regularity of symmetric solenoidal vector fields with application to Navier-Stokes equation, Fourth International Congress of Chinese Mathematicians, Hangzhou, China, December, 2007  
Macroscopic fluid models with localized kinetic upscaling effects , Workshop on Quantized vortices in superfluidity and superconductivity and kinetic theory, National University of Singapore, December, 2007  
Estimate on Laplace-Leary commutators and application to Navier- Stokes equation, International Conference on Applied Partial Differential Equations, East China Normal University, July, 2007  
Characterization and Regularity of Symmetric Solenoidal Vector Fields with Application to Navier-Stokes Equation, IMS Seminar, The Chinese University of Hong Kong, June 28, 2007  
Approximate projection operator, Uzawa iteration, sequential regularization and Navier-Stokes solver, Seminar in Applied Math, National Center for Theoretical Sciences, Taiwan, June 20, 2007  
Estimate on Laplace-Leary commutators and application to Navier-Stokes equation, Seminar on Applied Mathematics, Inst. of Math., Academia Sinica, Taiwan, June 18, 2007  
No-slip Navier-Stokes solvers built with Laplace-Leray commutators, Applied Math Seminar, National Chiao Tung University, Taiwan, June 15, 2007  
Asymptotic preserving Gauge schemes for transitional Mach number flows, Seminar in Scientific Computation, National Center for Theoretical Sciences, Taiwan, June 14, 2007  
Fluid models with localized kinetic upscaling, Applied Math Seminar, National Taiwan University, June 6, 2007  
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, The second MINNHOKEE memorial lecturer, Seoul National University, May, 2007  
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, Second Workshop on Nonlinear Partial Differential Equations: Analysis, Numerics and Applications, Seoul National University, May, 2007  
Incompressible Navier-Stokes equation: theory and computation II, Special Seminar, Seoul National University, South Korea, April 29, 2007  
Incompressible Navier-Stokes Equation: Theory and Computation I, Special Seminar, Seoul National University, April 28, 2007  
Efficient formulation of Navier-Stokes Equation and computation, Applied Math Seminar, Duke University, February 5, 2007  
A new approach for analysis and computation of Navier-Stokes Equation in bounded domains, Applied Math Colloquium, University of North-Carolina at Chapel Hill, December 1, 2006  
Pressure estimate for the incompressible Navier-Stokes equation in a bounded domain, Differential Equations Seminar, North Carolina State University, Raleigh, November 15, 2006  
Pressure estimates for Navier-Stokes equation in bounded domain, Applied Math Seminar, Michigan State University, November 07, 2006  
Pressure estimates for Navier-Stokes equation in bounded domain, PDE Seminar, Georgia Institute of Technology, October 10, 2006  
Pressure estimate for the incompressible Navier-Stokes equation in a bounded domain, CSCAMM Workshop on Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number, Maryland, October, 2006  
A new pressure estimate for the incompressible Navier-Stokes equations in a bounded domain, Mathematical Analysis and Applications Seminar, Weizmann Institute of Science, Israel, August 08, 2006  
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Seminar in Applied Mathematics, Hebrew University Jerusalem, Israel, July 31, 2006  
Incompressible Navier-Stokes dynamics in bounded domains---a new approach for analysis and computation, Numerical Analysis Seminar, Tel Aviv University, Israel, July 30, 2006  
Mathematical modellings and numerical methods for multi-scale problems I & II, School on Modern Numerical Methods in Math and Physics", NCTS, Taiwan, July, 2006  
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, NCTS International Workshop on Scientific Computing, Taiwan, June, 2006  
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Frontiers in Applied and Computational Mathematics, New Jersey Institute of Technology, May, 2006  
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Numerical Analysis and Math Physics Seminar, University of North Carolina at Charlotte, April 18, 2006  
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, Kyoto Conference on the Navier-Stokes equations and their Applications , Kyoto, Japan, January, 2006  
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, PDE Seminar, Northwestern University, November 17, 2005  
Divorcing pressure from viscosity in computing incompressible Navier-Stokes dynamics in bounded domains, CAMP/Nonlinear PDE's Seminar, University of Chicago, November 16, 2005  
Finite Element Navier-Stokes Solvers without Inf-Sup Conditions, Colloquium, University of Maryland, Baltimore County, September 16, 2005  
Novel Finite Element Navier-Stokes Solvers without Inf-Sup Conditions, Numerical Analysis Seminar, University of Maryland, College park, September 06, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Seminaire du Laboratoire Jacques-Louis Lions, Universite Pierre et Marie Curie, France, June 17, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Groupe de travail, Universite Paul Sabatier, France, June 16, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, International Conference on Multiscale Modeling and Scientific Computing, in honor of Professor Bjorn Engquist on occasion of his 60th birthday, Beijing, June, 2005  
Finite element Navier-Stokes solvers without Inf-Sup condition, International Conference on Scientific Computing, Nanjing, China,, June, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, The Nonlinear Partial Differential Equations: Analysis, Numerics and Applications, IMS/NUS, Singapore, May, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Computational and Applied Mathematics Seminar, University of California, Irvine, April 22, 2005  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Developments in Navier-Stokes Equations & Turbulence Research, IMS/NUS, Singapore, December, 2004  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Third International Congress of Chinese Mathematicians, Hong Kong, December, 2004  
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, First Singapore Workshop on PDE and Scientific Computing, IMS/NUS, December, 2004  
Coarsening dynamics and continuum modeling for epitaxial growth of thin films, Nanoscale Material Interfaces: Experiment, Theory and Simulation, IMS/NUS, Singapore, November, 2004  
Energy and Helicity Preserving Schemes for Hydrodynamic, The Sixth International Workshop on Mathematical Aspects of Fluid , and Plasma Dynamics, Kyoto, Japan, September, 2004  
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, Plenary Lecturer, The Tenth International Conference on Hyperbolic Problems: Theory, Numerics and Applications, Osaka, Japan, September, 2004  
Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics, Conference on Analysis, Modeling and Computation of PDE and Multiphase Flow, On the occasion of James Glimm's 70th Birthday, Stony Brook, August, 2004  
Numerical methods for simple and complex fluids, The third workshop on multiscale modeling of complex fluid", Peking University, July, 2004  
Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term, Int'l Workshop on Nonlinear Waves, On the occasion of George Papanicolaou's 60th Birthday, Hong Kong, June, 2004  
Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term, CSCAMM workshop on Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number, Maryland, May, 2004  
Multi-Scale Phenomena in Complex Fluids: Modeling, Analysis and Simulation, Shanghai Summer School on Analysis and Numerics in Modern Sciences, Fudan University, May, 2004  
Fourth evolution PDE for image process, International Conference on Numerical Methods in Imaging Science and Information Processing, IMS/NUS, Singapore, December, 2003  
Concepts and application of time limiters to high resolution schemes, ICIAM'03, Mini-symposium on Kinetic Theory and Related Hyperbolic Problems, Sydney, Australia, July, 2003  
Ground state of nonlinear Schrodinger equation as a limit of a gradient flow, CSCAMM workshop on Analysis and Numerics for Modelling Semiconductor Devices and Biological Channels, Maryland, May, 2003  
A class of numerical methods based on local vorticity boundary conditions and local pressure boundary conditions, CSCAMM workshop on Perspectives on incompressible flows, comparison of different computational strategies, Maryland, April, 2003  
Efficient numerical methods for incompressible flows, Summer School of Mathematics for Graduate Students in China, Jinlin University, July, 2002  
Thin film epitaxy with the Ehrlich-Schwoebel effect, Workshop on Scientific Computing, Xiangtan University, China, July, 2002  
Thin film epitaxy with the Ehrlich-Schwoebel effect, IMS Workshop on PDE and Their Numerical Methods, Chinese University of Hong Kong, July, 2002  
Efficient numerical methods for incompressible flows, keynote Speaker, The Tenth South Eastern Approximation Theory Conference, Athens, Georgia, March, 2002  
Doctoral Theses Directed

Linbao Zhang, Multi-scale Modeling and Computations, (2009 PhD)  
Jie Liu, A Class of Efficient, Stable Navier-Stokes Solvers, (2006 PhD)  
kexue Liu, Nonlinear Evolutionary PDEs in Image Processing and Computer Vision, (2004 PhD)  
Jianjun Xu, Studies of High Order Finite/Spectral Element Methods for Unsteady Incompressible Viscous Flow, (2001 PhD)  
Cheng Wang, High Order Finite Difference Method for Incompressible Flow, (2000 PhD)  
Hans Johnston, Efficient Computation of Viscous Incompressible Flow, (1999 PhD)  
Hwajeong Choi, Robust Numerical Methods for Conservation Laws Using a Biased Averaging Procedure, (1997 PhD)  
Publications (listed separately)

Last modified: 2017/12/18

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320