19 citations · 49 across the 25 of their papers we have counts for
26 papers
Relative Entropy and the Inviscid Limit for Planar Shocks of the Multi-D Burgers' Equation
Geng Chen, Jeffrey Cheng, Alexis F. Vasseur +1
In recent work (arXiv:2610.10341), the authors introduced a framework for studying the vanishing viscosity limit for sequences of weak solutions of the multi-dimensional compressib…
Generic Singularities for 2D Pressureless Flow
Alberto Bressan, Geng Chen, Shoujun Huang
In this paper, we consider the Cauchy problem for pressureless gases in two space dimensions with generic smooth initial data (density and velocity). These equations give rise to s…
Initial-boundary value problems for Poiseuille flow of nematic liquid crystal via full Ericksen-Leslie model
Geng Chen, Yanbo Hu, Qingtian Zhang
In this paper, we study the initial-boundary value problem for the Poiseuille flow of hyperbolic-parabolic Ericksen-Leslie model of nematic liquid crystals in one space dimension.…
Singularity formation for full Ericksen-Leslie system of nematic liquid crystal flows in dimension two
Geng Chen, Tao Huang, Xiang Xu
In this paper, we prove the singularity formation for Poiseuille laminar flow of full Ericksen-Leslie system modeling nematic liquid crystal flows in dimension two. The singularity…
Lipschitz optimal transport metric for a wave system modeling nematic liquid crystals
Hong Cai, Geng Chen, Yannan Shen
In this paper, we study the Lipschitz continuous dependence of conservative Hölder continuous weak solutions to a variational wave system derived from a model for nematic liquid cr…
The Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals: The general Case
Geng Chen, Weishi Liu, Majed Sofiani
In this work, we study the Cauchy problem of Poiseuille flow of the full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of two partial differentia…