Display Abstract

Title Boundary layers to the Euler-Poisson equations for a multicomponent plasma

Name Masahiro Suzuki
Country Japan
Email masahiro@is.titech.ac.jp
Submit Time 2014-02-07 03:22:53
Special Session 37: Global or/and blowup solutions for nonlinear evolution equations and their applications
In this talk, we study a boundary layer, called a sheath, which occurs on the surface of materials with which a multicomponent plasma contacts. For the sheath formation, the generalized Bohm criterion demands that the ions enter the sheath region with a high velocity. The motion of the multicomponent plasma is governed by the Euler-Poisson equations. The sheath is mathematically understood as the stationary solution to the equations. We show the unique existence and the asymptotic stability of the stationary solution under the the generalized Bohm criterion.