13 citations · 14 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
Solutions of the 2D Radially Symmetric Vlasov-Maxwell System with an Initial Focusing Phase
Katherine Zhiyuan Zhang
We study radially symmetric solutions to the 2D Vlasov-Maxwell system and construct solutions that initially possess arbitrarily small norms () for the charge densi…
On d quadratic Klein-Gordon equations with a potential and symmetries
Pierre Germain, Fabio Pusateri, Katherine Zhiyuan Zhang
This paper is a continuation of a previous work Germain-Pusateri (2020) by the first two authors. We focus on dimensional quadratic Klein-Gordon equations with a potential, und…
Effective Dynamics of the Vector Nonlinear Schrödinger Equations on Large Domains
Katherine Zhiyuan Zhang
We consider the vector nonlinear Schrödinger equation posed on the box with periodic boundary conditions, and derive the continuous resonant (CR) equation that describes the effect…