7 citations · 12 across the 7 of their papers we have counts for
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Global solution and singularity formation for the supersonic expanding wave of compressible Euler equations with radial symmetry
Geng Chen, Faris A. El-Katri, Yanbo Hu +1
In this paper, we define the rarefaction and compression characters for the supersonic expanding wave of the compressible Euler equations with radial symmetry. Under this new defin…
BV solutions to a hyperbolic system of balance laws with logistic growth
Geng Chen, Yanni Zeng
We study BV solutions for a system of hyperbolic balance laws. We show that when initial data have small total variation on and small amplitude, and d…
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…
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…
Lipschitz metric for the Novikov equation
Hong Cai, Geng Chen, Robin MIng Chen +1
We consider the Lipschitz continuous dependence of solutions for the Novikov equation with respect to the initial data. In particular, we construct a Finsler type optimal transport…
Lower bound of density for Lipschitz continuous solutions in the isentropic gas dynamics
Geng Chen, Ronghua Pan, Shengguo Zhu
For the Euler equations of isentropic gas dynamics in one space dimension, also knowns as p-system in Lagrangian coordinate, it is known that the density can be arbitrarily close t…