7 citations · 14 across the 7 of their papers we have counts for
4 papers · 1 filter
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 conservative solutions to a one-dimensional general quasilinear wave equation through variational principle
Hong Cai, Geng Chen, Yi Du +1
In this paper, we prove the uniqueness of energy conservative Holder continuous weak solution to a general quasilinear wave equation by the analysis of characteristics. This result…
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…