2 papers
math.AP2024
Delta-shock for the pressureless Euler-Poisson system
Junsik Bae, Yunjoo Kim, Bongsuk Kwon
We study singularity formation for the pressureless Euler-Poisson system of cold ion dynamics. In contrast to the Euler-Poisson system with pressure, when its smooth solutions expe…
math.AP2023
Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
Junsik Bae, Daisuke Kawagoe
We study the nonexistence of multi-dimensional solitary waves for the Euler-Poisson system governing ion dynamics. It is well-known that the one-dimensional Euler-Poisson system ha…