69 citations · 258 across the 25 of their papers we have counts for
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math.AP2013★ 2 cited
Well-posedness of the linearized problem for contact MHD discontinuities
Alessandro Morando, Yuri Trakhinin, Paola Trebeschi
We study the free boundary problem for contact discontinuities in ideal compressible magnetohydrodynamics (MHD). They are characteristic discontinuities with no flow across the dis…
math.AP2013★ 3 cited
Influence of vacuum electric field on the stability of a plasma-vacuum interface
Nikita Mandrik, Yuri Trakhinin
We study the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics. Unlike the classical statement, when the vacuum magnetic field obeys…
math.AP2013★ 69 cited
Well-posedness of the plasma-vacuum interface problem
Paolo Secchi, Yuri Trakhinin
We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region the flow is governed by the usual compr…