3 papers
math.AP2024
Sharp regularity of gradient blow-up solutions in the Camassa-Holm equation
Yunjoo Kim, Bongsuk Kwon, Jeongsik Yoon
We study the formation of singularities in the Camassa-Holm (CH) equation, providing a detailed description of the blow-up dynamics and identifying the precise Hölder regularity of…
math.AP2024
Long-Time Behavior towards Shock Profiles for the Navier-Stokes-Poisson System
Moon-Jin Kang, Bongsuk Kwon, Wanyong Shim
We study the stability of shock profiles in one spatial dimension for the isothermal Navier-Stokes-Poisson (NSP) system, which describes the dynamics of ions in a collision-dominat…
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…