Formation of Singularities in Plasma Ion Dynamics

no code implementations • 17 Dec 2020 • Junsik Bae, JunHo Choi, Bongsuk Kwon

We study the formation of singularity for the Euler-Poisson system equipped with the Boltzmann relation, which describes the dynamics of ions in an electrostatic plasma.

Analysis of PDEs

Linear Stability of solitary waves for the isothermal Euler-Poisson system

no code implementations • 14 Dec 2020 • Junsik Bae, Bongsuk Kwon

We study the asymptotic linear stability of a two-parameter family of solitary waves for the isothermal Euler-Poisson system.

Analysis of PDEs