2 citations · 6 across the 10 of their papers we have counts for
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Singularity formation for the general Poiseuille flow of nematic liquid crystals
Geng Chen, Majed Sofiani
We consider the Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model. The model is described by a coupled system consisting of a heat equation and a quasil…
A Finsler type Lipschitz optimal transport metric for a quasilinear wave equation
Hong Cai, Geng Chen, Yannan Shen
We consider the global well-posedness of weak energy conservative solution to a general quasilinear wave equation through variational principle, where the solution may form finite…
Uniqueness of Dissipative Solution for Camassa-Holm Equation with Peakon-Antipeakon Initial Data
Hong Cai, Geng Chen, Hongwei Mei
We give a proof for the uniqueness of dissipative solution for the Camassa-Holm equation with some peakon-antipeakon initial data following Dafermos' earlier resut in [5] on the Hu…
Singularity formation for radially symmetric expanding wave of Compressible Euler Equations
Hong Cai, Geng Chen, Tian-Yi Wang
In this paper, for compressible Euler equations in multiple space dimensions, we prove the break-down of classical solutions with a large class of initial data by tracking the prop…
Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model
Geng Chen, Tao Huang, Weishi Liu
In this paper, we study the Cauchy problem of the Poiseuille flow of full Ericksen-Leslie model for nematic liquid crystals. The model is a coupled system of a parabolic equation f…
Optimal density lower bound on nonisentropic gas dynamics
Geng Chen
In this paper, we prove a time dependent lower bound on density in the optimal order for the general smooth nonisentropic flow of compressible Euler equations.