54 citations · 56 across the 5 of their papers we have counts for
5 papers
No BV bounds for approximate solutions to p-system with general pressure law
Alberto Bressan, Geng Chen, Qingtian Zhang +1
For the p-system with large BV initial data, an assumption introduced in [3] by Bakhvalov guarantees the global existence of entropy weak solutions with uniformly bounded total var…
Unique Conservative Solutions to a Variational Wave Equation
Alberto Bressan, Geng Chen, Qingtian Zhang
Relying on the analysis of characteristics, we prove the uniqueness of conservative solutions to the variational wave equation . Given a solution $u(t,x)…
Uniqueness of Conservative Solutions to the Camassa-Holm Equation via Characteristics
Alberto Bressan, Geng Chen, Qingtian Zhang
The paper provides a direct proof the uniqueness of solutions to the Camassa-Holm equation, based on characteristics. Given a conservative solution , an equation is intro…
Finite time singularities for hyperbolic systems
Geng Chen, Tao Huang, Chun Liu
In this paper, we study the formation of finite time singularities in the form of super norm blowup for a spatially inhomogeneous hyperbolic system. The system is related to the va…
Lack of BV Bounds for Approximate Solutions to the p-system with Large Data
Alberto Bressan, Geng Chen, Qingtian Zhang
We consider front tracking approximate solutions to the p-system of isentropic gas dynamics. At interaction times, the outgoing wave fronts have the same strength as in the exact s…