3 papers
math.AP2024
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…
math.AP2024
Structure of singularities for the Euler-Poisson system of ion dynamics
Junsik Bae, Yunjoo Kim, Bongsuk Kwon
We study the formation of singularity for the isothermal Euler-Poisson system arising from plasma physics. Contrast to the previous studies yielding only limited information on the…
math.AP2018
Small amplitude limit of solitary waves for the Euler-Poisson system
Junsik Bae, Bongsuk Kwon
The one-dimensional Euler-Poisson system arises in the study of phenomena of plasma such as plasma solitons, plasma sheaths, and double layers. When the system is rescaled by the G…