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math.AP2024★ 1 cited
Global Mild Solutions to a BGK Model for Barotropic Gas Dynamics
Dowan Koo, Sihyun Song
We establish global existence of mild solutions to the BGK model proposed by Bouchut [J. Stat. Phys., 95, (1999), 113--170] under the minimal assumption of finite kinetic entropy i…
math.AP2024★ 1 cited
Critical thresholds in pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We investigate the critical threshold phenomena in a large class of one dimensional pressureless Euler--Poisson (EP) equations, with non-vanishing background states. First, we esta…