About Speaker Schedule School of Mathematical Sciences, SJTU Institute of Natural Sciences, SJTU
Workshop on Recent Advances in PDEs (XV)

Weakly nonlinear surface waves on the plasma-vacuum interface

Speaker

袁源 , 华南师范大学

Time

13 Apr, 16:10 - 16:45

Abstract

We consider the free boundary problem for a plasma-vacuum interface in ideal incompressible magnetohydrodynamics, where in the vacuum the Maxwell system is considered and the displacement current is not neglected. Under a necessary and sufficient stability condition for a piecewise constant background state, we construct weakly nonlinear, highly oscillating solutions to this plasma-vacuum interface problem in three-dimensional space, at any arbitrarily large order of accuracy when the initial discontinuity displays high frequency oscillations. We also verify the rectification phenomenon, i.e. the approximate surface waves have nontrivial residual non-oscillatory components. This is a joint work with Professor Paolo Secchi from University of Brescia, Italy.