Jian-Guo Liu

Professor of Physics and Mathematics

Office: 
285 Physics
Campus Box: 
90320
Phone: 
919-660-2546

Details

Existence and uniqueness of global weak solution to a kinetic model for the sedimentation of rod-like particles
Commun. Math. Sci. (2014)

A local pressure boundary condition spectral collocation scheme for the three-dimensional Navier-Stokes equations
J. Sci. Comput. (2014)

On generating functions of Hausdorff moment sequences
Trans. Amer. Math. Soc. (2014)

Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics
Arch. Rat. Mech. Anal. (2014)

Elastic collisions among peakon solutions for the Camassa-Holm equation
Appl. Numer. Math. (2014)

Ultra-contractivity for Keller-Segel model with diffusion exponent m>1-2/d
Kinetic and Related Models (2014)

Well-posedness and singular limit of a semilinear hyperbolic relaxation system with a two-scale discontinuous relaxation rate
Arch. Rat. Mech. Anal. (2014)

Evolution of wealth in a nonconservative economy driven by local Nash equilibria
Phil. Trans. R. Soc. A (2014)

A note on Aubin-Lions-Dubinskii lemmas
Acta Appl. Math. (2014)

Large-scale dynamics of Mean-Field Games driven by local Nash equilibria
J Nonlinear Sci. (2014)

Education:
PhD - University of California, Los Angeles
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 . 2014; : .

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..