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Curriculum Vitae

Jian-Guo Liu

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117 Physics Building
Durham, NC 27708 		919-660-2546 (office)
919-929-0180 (home)
(email)
Education

PhDUniversity of California, Los Angeles1990
MSFudan University1985
BSFudan University1982
Areas of Research

Applied mathematics, nonlinear dynamics, complex system, fluid dynamics, computational sciences

Areas of Interest

collective behavior in complex system, computational fluid dynamics, partial differential equations,

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

  • Efficient Numerical Methods for Viscous Incompressible Flows, National Science Foundation, 1011738, 2009/07-2012/06.      
  • Efficient numerical methods for viscous incompressible flows, National Science Foundation, DMS11177, 2008/07-2011/06.      
Selected Recent Invited Talks

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 [html]  
Asymptotic-preserving schemes for some kinetic equations, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, August 31, 2010 [html]  
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: 2011/11/17