11 citations · 32 across the 9 of their papers we have counts for
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Linear Stability of solitary waves for the isothermal Euler-Poisson system
Junsik Bae, Bongsuk Kwon
We study the asymptotic linear stability of a two-parameter family of solitary waves for the isothermal Euler-Poisson system. When the linearized equations about the solitary waves…
Formation of Singularities in Plasma Ion Dynamics
Junsik Bae, Junho Choi, Bongsuk Kwon
We study the formation of singularity for the Euler-Poisson system equipped with the Boltzmann relation, which describes the dynamics of ions in an electrostatic plasma. In general…
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…
The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations
Young-Pil Choi, Bongsuk Kwon
We present a new hydrodynamic model consisting of the pressureless Euler equations and the isentropic compressible Navier-Stokes equations where the coupling of two systems is thro…
Asymptotic Behavior of Multidimensional Scalar Relaxation Shocks
Bongsuk Kwon, Kevin Zumbrun
We establish pointwise bounds for the Green function and consequent linearized stability for multidimensional planar relaxation shocks of general relaxation systems whose equilibri…
Structural Conditions for Full MHD Equations
Bongsuk Kwon
In this paper, we investigate the characteristic structure of the full equations of magnetohydrodynamics (MHD) and show that it satisfies the hypotheses of a general variable-multi…