Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations

oleh: Chengchun Hao, Tao Luo

Format: Article
Diterbitkan: AIMS Press 2022-01-01

Deskripsi

We survey some recent results related to free boundary problems of incompressible ideal magnetohydrodynamics equations, and present the main ideas in the proofs of the ill-posedness in 2D when the Taylor sign condition is violated given [1], and the well-posedness of a linearized problem given in [2] in general n-dimensions (n⩾2) when the Taylor sign condition is satisfied and the free boundaries are closed.