7 citations · 14 across the 7 of their papers we have counts for
7 papers
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…
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…
Fisher-KPP dynamics in diffusive Rosenzweig-MacArthur and Holling-Tanner models
Hong Cai, Anna Ghazaryan, Vahagn Manukian
We prove the existence of traveling fronts in diffusive Rosenzweig-MacArthur and Holling-Tanner population models and investigate their relation with fronts in a scalar Fisher-KPP…
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…