Academy of Mathematics and Systems Science, CAS Colloquia & Seminars | Speaker: | 袁源 讲师,华南师范大学 | Inviter: | | Title: | Weakly nonlinear surface waves on the plasma-vacuum interface | Time & Venue: | 2021.05.07 10:30-11:30 思源楼805 | 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. This is a joint work with Professor Paolo Secchi from University of Brescia. | | | |