# Jian-Guo Liu

## Professor of Physics and Mathematics

## Details

** Convergence analysis of the vortex blob method for the b-equation
**

Discrete Contin. Dyn. Syst. Ser. A
(2014)

** Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d
**

Kinetic and Related Models
(2014)

** A generalized MAC scheme on curvilinear domains
**

SIAM J. Sci. Comput.
(2013)

** Hydrodynamic models of self-organized dynamics: derivation and existence theory
**

Methods Anal. Appl.
(2013)

** Dynamic and steady states for multi-dimensional Keller-Segel model with diffusion exponent m > 0
**

Comm Math Phy
(2013)

** Well-posedness for Hall-magnetohydrodynamics
**

Ann. I. H. Poincare, AN
(2013)

** Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles
**

Commun. Math. Sci.
(2013)

** Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d
**

Kinetic and Related Models
(2013)

** Large-scale dynamics of Mean-Field Games driven by local Nash equilibria
**

J Nonlinear Sci.
(2013)

** Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
**

J. Stat. Phys.
(2013)

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**Education:**

MS - Fudan University

BS - Fudan University

** A note on phase transitions for the Smoluchowski equation with dipolar potential
**

In Proceedings of the Fourteenth International Conference on Hyperbolic Problems: Theory, Numerics and Application edited by . ; : .

** Convergence analysis of the particle method for the Camassa-Holm equation
**

In Proceedings of the 13th International Conference on ``Hyperbolic Problems: Theory, Numerics and Applications" edited by . 2012; pp. 365-373. Beijing: Higher Education Press.

** Convergence analysis of the particle method for the Camassa-Holm equation
**

In Proceedings of the 13th International Conference on ``Hyperbolic Problems: Theory, Numerics and Applications" edited by . ; : .

** Estimates on the Stokes pressure by partitioning the energy of harmonic functions
**

In Kyoto Conference on the Navier-Stokes equations and their Applications edited by Y. Giga, H. Kozono, H. Okamoto and Y. Shibta. ; pp. 251--270. : Kyoto Univ..

** On incompressible Navier-Stokes dynamics: a new approach for analysis and computation
**

In Proceedings of the Tenth International Conference on Hyperbolic Problems edited by F. Asakura, etc. 2006; pp. 29--44. : Yokohama Publishers, Inc..