4 papers
-contraction of Shock Waves for KdV-Burgers Equation
Geng Chen, Namhyun Eun, Moon-Jin Kang +1
The KdV-Burgers equation is a canonical model describing the interplay between nonlinearity, viscosity and dispersion, and it admits viscous-dispersive shocks as traveling wave sol…
Existence and singularity formation for the supersonic expanding wave of radially symmetric non-isentropic compressible Euler equations
Geng Chen, Faris A. El-Katri, Yanbo Hu
This paper studies the existence and singularity formation of supersonic expanding waves for the radially symmetric non-isentropic compressible Euler equations of polytropic gases.…
Quantitative weak-BV stability of "wild'' solutions to compressible Euler equations, with a view towards higher systems
Geng Chen, Cooper Faile, Sam G. Krupa
For hyperbolic systems of conservation laws, including important physical models from continuum mechanics, the question of stability for large data solutions remains a challenging…
Solutions to conservation laws are Hölder-stable in in the weak-BV setting
Geng Chen, Cooper Faile, Sam G. Krupa
We consider hyperbolic systems of conservation laws in one spatial dimension. For any limit of front tracking solutions , and for a general weak solution with no…