P. Degond and J.-G. Liu, Hydrodynamics of self-alignment interactions with precession and derivation of the Landau-Lifschitz-Gilbert equation,
Math. Models Methods Appl. Sci.
(Accepted, 2011)
M. Acheritogaray, P. Degond, A. Frouvelle, and J.-G. Liu, Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system,
Kinetic and Related Models, vol. 4
(2011),
pp. 901-918
J.-G. Liu, Jie Liu and R. Pego, Stable and accurate pressure approximation for unsteady incompressible viscous flow,
J. Comput. Phys., vol. 229
(2010),
pp. 3428-3453
S.-Y. Ha and J.-G. Liu, A simple proof of the Cucker-Smale flocking dynamics and mean-field limit,
Commun. Math. Sci., vol. 7
(2009),
pp. 297-325
J.-G. Liu, J. Liu and R. Pego, Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate via a commutator estimate,
Comm. Pure Appl. Math., vol. 60
(2007),
pp. 1443-1487
P. Degond, J.-G. Liu, and L. Mieussens, Macroscopic fluid models with localized kinetic upscaling effects,
Multiscale Model. Simul., vol. 5
(2006),
pp. 940--979
H. Johnston and J.-G. Liu, Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term,
J. Comput. Phys., vol. 188
(2004),
pp. 221-259
J.-G. Liu and W.-C. Wang, Energy and helicity preserving schemes for hydro- and magneto-hydrodynamics flows with symmetry,
J. Comput. Phys., vol. 200
(2004),
pp. 8-33
Weinan E and J.-G. Liu, Gauge method for viscous incompressible flows,
Comm. Math. Sci., vol. 1
(2003),
pp. 317--332
Weinan E and J.-G. Liu, Essential compact scheme for unsteady viscous incompressible flows,
J. Comput. Phys., vol. 126
(1996),
pp. 122-138
Weinan E and J.-G. Liu, Vorticity boundary condition and related issues for finite difference schemes,
J. Comput. Phys., vol. 124
(1996),
pp. 368-382
J.-G. Liu and Z. Xin, Convergence of vortex methods for weak solutions to the 2-D Euler equations with vortex sheets data,
Comm. Pure Appl. Math., vol. 48
(1995),
pp. 611-628
J.-G. Liu and Z. Xin, Nonlinear stability of discrete shocks for systems of conservation laws,
Arch. Rat. Mech. Anal., vol. 125
(1993),
pp. 217-256
Selected Invited Lectures
Pressure boundary condition and projection method, September, 2011, ``Modern Techniques in the Numerical Solution of Partial Differential Equations'', Crete, Greece
Asymptotic-preserving schemes for some kinetic equations, January, 2011, Workshop on "Numerical Methods for stiff problems in Hamiltonian systems and kinetic equations", Saint-Malo, France
Dynamics of orientational alignment and phase transition, October, 2010, 2010 NIMS Thematic Program Workshop on Conservation Laws, Plasma and Related Fields, Seoul National University, South Korea
Analysis of Dynamics of Doi-Onsager Phase Transition, September 6, 2010, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, July, 2009, ICMS Workshop on Kinetic and Mean-field models in the Socio-Economic Sciences, Edinburgh, UK,
A simple proof of the Cucker-Smale flocking dynamics and mean-field limit, July, 2009, Workshop on Kinetics and statistical methods for complex particle systems, Lisbon, Portugal
All speed asymptotic-preserving schemes for compressible flows, August, 2008, 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
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, May, 2007, The second MINNHOKEE memorial lecturer, Seoul National University
Stability and convergence of efficient Navier-Stokes solvers via a commutator estimate, January, 2006, Kyoto Conference on the Navier-Stokes equations and their Applications , Kyoto, Japan
On incompressible Navier-Stokes dynamics: a new approach for analysis and computation, September, 2004, Plenary Lecturer, The Tenth International Conference on Hyperbolic Problems: Theory, Numerics and Applications, Osaka, Japan
Efficient numerical methods for incompressible flows, March, 2002, keynote Speaker, The Tenth South Eastern Approximation Theory Conference, Athens, Georgia
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.
Conferences Organized
IMA Workshop on Analysis and Computation of Incompressible Fluid Flow, Organizer Committee, February, 2010
Two Month Program on Mathematical Theory and Numerical Methods for Computational Materials Simulation and Design, Organizer Committee, Singapore, July, 2009 - August, 2009
"Twelfth International Conference on Hyperbolic Problems Theory, Numerics, Applications'', Maryland, Co-Chair, June, 2008
CSCAMM Workshop on Analytical and Computational Challenges of Incompressible Flows at High Reynolds Number, Organizer Committee, Maryland, October 23, 2006 - October 26, 2006
The Nonlinear Partial Differential Equations: Analysis, Numerics and Applications, Organizing Committee, Singapore, May, 2005
Two month program on ``Nanoscale Material Interfaces: Experiment, Theory and Simulation'', Co-Chair, Singapore, November 24, 2004 - January 23, 2005
First Singapore Workshop on PDE and Scientific Computing, Co-Chair, December, 2004
