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Large-time behavior of pressureless Euler--Poisson equations with background states
Young-Pil Choi, Dong-ha Kim, Dowan Koo +1
We study the large-time asymptotic behavior of solutions to the one-dimensional damped pressureless Euler-Poisson system with variable background states, subject to a neutrality co…
The Dirichlet problem for second-order elliptic equations in non-divergence form with continuous coefficients: The two-dimensional case
Hongjie Dong, Dong-ha Kim, Seick Kim
This paper investigates the Dirichlet problem for a non-divergence form elliptic operator in a bounded domain of . Assuming that the principal coefficients satisf…
Convergence and non-convergence phenomena in Euler-Maxwell to MHD transitions
Dong-ha Kim, Junha Kim, Jihoon Lee
In this work, we investigate the difference estimate for a class of Euler-Maxwell system and those of magnetohydrodynamics (in short, MHD) systems in three dimensions. We decompose…
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…