12 citations · 21 across the 4 of their papers we have counts for
4 papers
Traveling Waves of the Vlasov--Poisson System
Masahiro Suzuki, Masahiro Takayama, Katherine Zhiyuan Zhang
We consider the Vlasov--Poisson system describing a two-species plasma with spatial dimension and the velocity variable in . We find the necessary and sufficient…
Nonlinear Stability and Instability of Plasma Boundary Layers
Masahiro Suzuki, Masahiro Takayama, Katherine Zhiyuan Zhang
We investigate the formation of a plasma boundary layer (sheath) by considering the Vlasov--Poisson system on a half-line with the completely absorbing boundary condition. In an ea…
The Kinetic and Hydrodynamic Bohm Criterions for Plasma Sheath Formation
Masahiro Suzuki, Masahiro Takayama
The purpose of this paper is to mathematically investigate the formation of a plasma sheath, and to analyze the Bohm criterions which are required for the formation. Bohm derived o…
Stability and existence of stationary solutions to the Euler-Poisson equations in a domain with a curved boundary
Masahiro Suzuki, Masahiro Takayama
The purpose of this paper is to mathematically investigate the formation of a plasma sheath near the surface of walls immersed in a plasma, and to analyze qualitative information o…