10 citations · 11 across the 8 of their papers we have counts for
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Conditional asymptotic stability of solitary waves of the Euler-Poisson system on the line
Junsik Bae, Scipio Cuccagna, Masaya Maeda
We apply the idea of using a combination of virial inequalities and Kato smoothing, previously applied to NLS and generalized KdV pure power equations to Euler-Poisson: we assume t…
Emergence of peaked singularities in the Euler-Poisson system
Junsik Bae, Sang-Hyuck Moon, Kwan Woo
We consider the one-dimensional Euler-Poisson system equipped with the Boltzmann relation and provide the exact asymptotic behavior of the peaked solitary wave solutions near the p…
Singularity formation of hydromagnetic waves in cold plasma
Junsik Bae, Junho Choi, Bongsuk Kwon
We study blow-up of the compressible fluid model introduced by Gardner and Morikawa, which describes the dynamics of a magnetized cold plasma. We propose sufficient condition…
Delta-shock for the pressureless Euler-Poisson system
Junsik Bae, Yunjoo Kim, Bongsuk Kwon
We study singularity formation for the pressureless Euler-Poisson system of cold ion dynamics. In contrast to the Euler-Poisson system with pressure, when its smooth solutions expe…
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…
Nonexistence of multi-dimensional solitary waves for the Euler-Poisson system
Junsik Bae, Daisuke Kawagoe
We study the nonexistence of multi-dimensional solitary waves for the Euler-Poisson system governing ion dynamics. It is well-known that the one-dimensional Euler-Poisson system ha…
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…