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math.AP2026
Global large smooth solutions and overdamped limits for the damped isothermal Euler-Poisson system
Young-Pil Choi, Jinwook Jung
We consider the isothermal Euler-Poisson system with linear damping on a periodic domain in the large damping regime. For arbitrarily large smooth initial data with density bounded…
math.AP2026
Eventual regularity and asymptotic behavior of Leray-Hopf weak solutions for the Hall-MHD system
Jinwook Jung, Jaeyong Shin
In this paper, we study the incompressible, viscous and resistive Hall-magnetohydrodynamic (Hall-MHD) system. We first prove that every two-dimensional Leray-Hopf weak solution bec…
math.AP2026
Quantitative light-particle limit for the Vlasov-Fokker-Planck-Navier-Stokes system
Young-Pil Choi, Jinwook Jung
We investigate the hydrodynamic limit of the Vlasov-Fokker-Planck-Navier-Stokes system in the light particle regime, where the particle relaxation takes place on a singularly fast…