English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider the plasma-vacuum interface problem in a horizontally periodicslab impressed by a uniform non-horizontal magnetic field. The lower plasmaregion is governed by the incompressible inviscid and resistive MHD, the uppervacuum region is governed by the pre-Maxwell equations, and the effect ofsurface tension is taken into account on the free interface. The globalwell-posedness of the problem, supplemented with physical boundary conditions,around the equilibrium is established, and the solution is shown to decay tothe equilibrium almost exponentially. Our results reveal the strong stabilizingeffect of the magnetic field as the global well-posedness of the free-boundaryincompressible Euler equations, without the irrotational assumption, around theequilibrium is unknown. One of the key observations here is an induced dampingstructure for the fluid vorticity due to the resistivity and transversalmagnetic field. A similar global well-posedness for the plasma-plasma interfaceproblem is obtained, where the vacuum is replaced by another plasma.

Global Well-posedness of Free Interface Problems for the incompressible Inviscid Resistive MHD