7 citations · 12 across the 4 of their papers we have counts for
4 papers
Lipschitz Metrics for a Class of Nonlinear Wave Equations
Alberto Bressan, Geng Chen
The nonlinear wave equation determines a flow of conservative solutions taking values in the space . However, this flow is not continuou…
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…
Existence and regularity of solutions in nonlinear wave equations
Geng Chen, Yannan Shen
In this paper, we study the global existence and regularity of Hölder continuous solutions for a series of nonlinear partial differential equations describing nonlinear waves.
Shock-free Solutions of the Compressible Euler Equations
Geng Chen, Robin Young
We study the structure of shock-free solutions of the compressible Euler equations with large data. We describe conditions under which the Rarefactive/Compressive character of solu…