Jian-Guo Liu

发表

Variable-coefficient symbolic computation approach for finding multiple rogue wave solutions of nonlinear system with variable coefficients

Wen-Hui Zhu, Jian-Guo Liu, Yan He, 2019, Zeitschrift für angewandte Mathematik und Physik.

Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: Derivations and computations

Jian-Guo Liu, Yuan Gao, 2021, Physica D: Nonlinear Phenomena.

A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: numerical analysis and exploration pdf

Jingwei Hu, Zhennan Zhou, Jian-Guo Liu, 2019, J. Comput. Phys..

Existence of global weak solutions of \begin{document}$ p $\end{document} -Navier-Stokes equations

Jian-Guo Liu, Zhaoyun Zhang, Jian‐Guo Liu, 2021 .

From kinetic to fluid models of liquid crystals by the moment method

Pierre Degond, Amic Frouvelle, Jian-Guo Liu, 2021, Kinetic & Related Models.

In search of local singularities in ideal potential flows with free surface

Robert L. Pego, Jian-Guo Liu, Jian‐Guo Liu, 2021, 2108.00445.

Existence and Incompressible Limit of a Tissue Growth Model with Autophagy

Xiangsheng Xu, Jian-Guo Liu, Jian‐Guo Liu, 2021, SIAM J. Math. Anal..

Investigating the integrate and fire model as the limit of a random discharge model: a stochastic analysis perspective

Ziheng Wang, Yuan Zhang, Zhennan Zhou, 2021, Mathematical Neuroscience and Applications.

A Note on Aubin-Lions-Dubinskiĭ Lemmas

Ansgar Jüngel, Jian-Guo Liu, Jian‐Guo Liu, 2013, 1305.6235.

A Nash equilibrium macroscopic closure for kinetic models coupled with Mean-Field Games

Pierre Degond, Christian Ringhofer, Jian-Guo Liu, 2012, 1212.6130.

Projection Method II: Godunov--Ryabenki Analysis

E Weinan, Jian-Guo Liu, Jian‐Guo Liu, 1996 .

A Class of Exact Solutions of (3+1)-Dimensional Generalized B-Type Kadomtsev–Petviashvili Equation

Jian-Guo Liu, Shuang Liu, Jian‐Guo Liu, 2017 .

Convergence of vortex methods for weak solutions to the 2‐D euler equations with vortex sheet data

Zhouping Xin, Jian-Guo Liu, Z. Xin, 1995 .

Boundary-layer separation and adverse pressure gradient for 2-D viscous incompressible flow

Michael Ghil, Cheng Wang, Jian-Guo Liu, 2004 .

DISCRETE ENTROPY AND MONOTONICITY CRITERIA FOR HYPERBOLIC CONSERVATION LAWS

Philippe G. LeFloch, Jian-Guo Liu, 1994 .

Finite Difference Schemes for Incompressible Flows in the Velocity-Impulse Density Formulation

E Weinan, Jian-Guo Liu, Jian‐Guo Liu, 1997 .

Propagation of chaos for the Keller–Segel equation with a logarithmic cut-off

Jian-Guo Liu, Rong Yang, 2019, Methods and Applications of Analysis.

Center for Scientific Computation And Mathematical Modeling

Bo Li, Jian-Guo Liu, Jian‐Guo Liu, 2003 .

On the mean field limit for Brownian particles with Coulomb interaction in 3D

Jian-Guo Liu, Lei Li, Lei Li, 2018, Journal of Mathematical Physics.

Emergence of step flow from an atomistic scheme of epitaxial growth in 1+1 dimensions.

Jianfeng Lu, Dionisios Margetis, Jian-Guo Liu, 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

An energy-preserving MAC-Yee scheme for the incompressible MHD equation

Jian-Guo Liu, Jian‐Guo Liu, Wei-Cheng Wang, 2001 .

Communications in Mathematical Physics Dynamic and Steady States for Multi-Dimensional Keller-Segel Model with Diffusion Exponent m > 0

Jian-Guo Liu, Shen Bian, Jian‐Guo Liu, 2013 .

Accurate, stable and efficient Navier-Stokes solvers based on explicit treatment of the pressure term

Hans Johnston, Jian-Guo Liu, Jian‐Guo Liu, 2004 .

Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro–macro decomposition-based asymptotic-preserving method

Shi Jin, Zheng Ma, Jian-Guo Liu, 2017, Research in the Mathematical Sciences.

Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate

Frédéric Coquel, Li Wang, Shi Jin, 2014, Archive for Rational Mechanics and Analysis.

HYDRODYNAMICS OF SELF-ALIGNMENT INTERACTIONS WITH PRECESSION AND DERIVATION OF THE LANDAU–LIFSCHITZ–GILBERT EQUATION

Pierre Degond, Jian-Guo Liu, 2012 .

A coupled chemotaxis-fluid model: Global existence

Alexander Lorz, Jian-Guo Liu, Jian‐Guo Liu, 2011 .

Nonlinear stability of discrete shocks for systems of conservation laws

Zhouping Xin, Jian-Guo Liu, Z. Xin, 1993 .

New periodic solitary wave solutions for the new (2+1)-dimensional Korteweg–de Vries equation

Jian-Guo Liu, Jian‐Guo Liu, Ye-Zhou Li, 2017 .

A High-Order Discontinuous Galerkin Method for 2D Incompressible Flows

Chi-Wang Shu, Jian-Guo Liu, Chi-Wang Shu, 2000 .

Hyperbolic Problems: Theory, Numerics and Applications

Eitan Tadmor, Athanasios E. Tzavaras, Jian-Guo Liu, 2009 .

Continuous and discrete one dimensional autonomous fractional ode

Jian-Guo Liu, Lei Li, Xiaoqian Xu, 2017, 1703.02636.

Abundant lump and lump–kink solutions for the new (3+1)-dimensional generalized Kadomtsev–Petviashvili equation

Jian-Guo Liu, Yan He, Jian‐Guo Liu, 2018 .

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

Yong Duan, Jian-Guo Liu, Jian‐Guo Liu, 2013 .

Stable discretization of magnetohydrodynamics in bounded domains

Robert L. Pego, Jian-Guo Liu, Jian‐Guo Liu, 2010 .

Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry

Jian-Guo Liu, Jian‐Guo Liu, Wei-Cheng Wang, 2004 .

The Effects of Numerical Viscosities

Shi Jin, Jian-Guo Liu, Jian‐Guo Liu, 1996 .

Relaxation and diffusion enhanced dispersive waves

Shi Jin, Jian-Guo Liu, Jian‐Guo Liu, 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

ON GENERATING FUNCTIONS OF HAUSDORFF MOMENT SEQUENCES

Durham, Pittsburgh, Carnegie Mellon University, 2014, 1401.8052.

L^1 stability of stationary discrete shocks

Zhouping Xin, Jian-Guo Liu, 1993 .

Well-posedness for Hall-magnetohydrodynamics

Pierre Degond, Dongho Chae, Jian-Guo Liu, 2012, 1212.3919.

UNIFORM L ∞ BOUNDEDNESS FOR A DEGENERATE PARABOLIC-PARABOLIC KELLER-SEGEL MODEL

Jian-Guo Liu, Jian‐Guo Liu, Wenting Cong, 2016 .

Positivity property of second-order flux-splitting schemes for the compressible Euler equations

Cheng Wang, Jian-Guo Liu, Jian‐Guo Liu, 2003 .

Global stability for solutions to the exponential PDE describing epitaxial growth

Robert M. Strain, Jian-Guo Liu, Jian‐Guo Liu, 2018, Interfaces and Free Boundaries.

A note on deconvolution with completely monotone sequences and discrete fractional calculus

Jian-Guo Liu, Lei Li, Lei Li, 2017 .

Finite Difference Methods for 3D Viscous Incompressible Flows in the Vorticity-Vector Potential Formulation on Nonstaggered Grids

E Weinan, Jian-Guo Liu, Jian‐Guo Liu, 1997 .

Finite volume scheme for multi-dimensional drift-diffusion equations and convergence analysis

Claire Chainais-Hillairet, Yue-Jun Peng, Jian-Guo Liu, 2003 .

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

Pierre Degond, Amic Frouvelle, Jian-Guo Liu, 2012, 1212.3920.

Error estimates for finite-element Navier-Stokes solvers without standard Inf-Sup conditions

Robert L. Pego, Jian-Guo Liu, Jie Liu, 2009 .

Finite Difference Schemes for Incompressible Flow Based on Local Pressure Boundary Conditions

Hans Johnston, Jian-Guo Liu, Jian‐Guo Liu, 2002 .

Analysis of a continuum theory for broken bond crystal surface models with evaporation and deposition effects

Jianfeng Lu, Jeremy L. Marzuola, Jian-Guo Liu, 2019, Nonlinearity.

Convergence of a Galerkin method for 2‐D discontinuous Euler flows

Zhouping Xin, Jian-Guo Liu, 2000 .

Patched peakon weak solutions of the modified Camassa–Holm equation

Jian-Guo Liu, Lei Li, Yu Gao, 2019, Physica D: Nonlinear Phenomena.

A Numerical Example on the Performance of High Order Discontinuous Galerkin Method for 2D Incompressible Flows

Chi-Wang Shu, Jian-Guo Liu, 2000 .

Connection between corner vortices and shear layer instability in flow past an ellipse

Z. Jane Wang, Z. J. Wang, Stephen Childress, 1999 .

Elastic collisions among peakon solutions for the Camassa-Holm equation

Alina Chertock, Terrance Pendleton, Jian-Guo Liu, 2015 .

A simple proof of the Cucker-Smale flocking dynamics and mean-field limit

Seung-Yeal Ha, Jian-Guo Liu, Jian‐Guo Liu, 2009 .

Stability and convergence of efficient Navier‐Stokes solvers via a commutator estimate

Robert L. Pego, Jian-Guo Liu, Jie Liu, 2007 .

The Reconstruction of Upwind Fluxes for Conservation Laws

Jian-Guo Liu, Jian‐Guo Liu, Hwajeong Choi, 1998 .

Dynamics in Models of Coarsening, Coagulation, Condensation and Quantization

Weizhu Bao, Jian-Guo Liu, Jian‐Guo Liu, 2007 .

Accurate Evaluation of Electrostatics for Macromolecules in Solution

I-Liang Chern, Jian-Guo Liu, Jian‐Guo Liu, 2003 .

HYDRODYNAMIC MODELS OF SELF-ORGANIZED DYNAMICS: DERIVATION AND EXISTENCE THEORY ∗

Pierre Degond, Jian-Guo Liu, Jian‐Guo Liu, 2011, 1108.3160.

Evolution of wealth in a non-conservative economy driven by local Nash equilibria

Pierre Degond, Christian Ringhofer, Jian-Guo Liu, 2014, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Phase Transitions, Hysteresis, and Hyperbolicity for Self-Organized Alignment Dynamics

Pierre Degond, Amic Frouvelle, Jian-Guo Liu, 2013, 1304.2929.

Kinetic formulation and global existence for the Hall-Magneto-hydrodynamics system

Pierre Degond, Amic Frouvelle, Jian-Guo Liu, 2011 .

New exact periodic solitary-wave solutions for the new (3+1)-dimensional generalized Kadomtsev-Petviashvili equation in multi-temperature electron plasmas

Yu Tian, Zhi-Fang Zeng, Jian-Guo Liu, 2017 .

MACH-NUMBER UNIFORM ASYMPTOTIC-PRESERVING GAUGE SCHEMES FOR COMPRESSIBLE FLOWS

Pierre Degond, Shi Jin, Jian-Guo Liu, 2007 .

Gauge finite element method for incompressible flows

E Weinan, Jian-Guo Liu, Jian‐Guo Liu, 2000 .

Convergence of Diffusion-Drift Many Particle Systems in Probability Under a Sobolev Norm

Yuan Zhang, Jian-Guo Liu, Jian‐Guo Liu, 2016 .

Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

Jeremy L. Marzuola, Jianfeng Lu, Dionisios Margetis, 2017, Physica D: Nonlinear Phenomena.