2 papers
math.AP2024
The Initial Stages of a Generic Singularity for a 2D Pressureless Gas
Alberto Bressan, Geng Chen, Shoujun Huang
We consider the Cauchy problem for the equations of pressureless gases in two space dimensions. For a generic set of smooth initial data (density and velocity), it is known that th…
math.AP2023
BV solutions to a hyperbolic system of balance laws with logistic growth
Geng Chen, Yanni Zeng
We study BV solutions for a system of hyperbolic balance laws. We show that when initial data have small total variation on and small amplitude, and d…