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math.AP2020★ 1 cited
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…
math.AP2020
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…
math.AP2020
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…