Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD (Q6142411)

scientific article; zbMATH DE number 7781620

Language	Label	Description	Also known as
English	Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD	scientific article; zbMATH DE number 7781620

Statements

instance of

scholarly article

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title

Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD (English)

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author

Wen-bin Zhao

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published in

Journal of Differential Equations

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publication date

21 December 2023

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zbMATH Keywords

incompressible MHD

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plasma-vacuum

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free boundary

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well-posedness

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jde.2023.11.004

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cites work

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The equations of motion of a perfect fluid with free boundary are not well posed.

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A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows

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Well-posedness of the free boundary problem for incompressible elastodynamics

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A stability criterion for two-fluid interfaces and applications

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Well-posedness for the motion of an incompressible liquid with free surface boundary

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A Priori Estimates for the Compressible Euler Equations for a Liquid with Free Surface Boundary and the Incompressible Limit

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Para-differential calculus and applications to the Cauchy problem for nonlinear systems

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Stability of an incompressible plasma–vacuum interface with displacement current in vacuum

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Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD

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Well-posedness of the plasma -- vacuum interface problem for ideal incompressible MHD

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Existence of compressible current-vortex sheets: Variable coefficients linear analysis

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On violent instability of a plasma-vacuum interface for an incompressible plasma flow and a nonzero displacement current in vacuum

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Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension

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Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics

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Nonlinear stability of MHD contact discontinuities with surface tension

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Q6133784

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Global well-posedness of free interface problems for the incompressible inviscid resistive MHD

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Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets

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Well-posedness in Sobolev spaces of the full water wave problem in 2D

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Well-posedness in Sobolev spaces of the full water wave problem in 3-D

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Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics

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On the free boundary problem of three-dimensional incompressible Euler equations

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Identifiers

zbMATH Open document ID

1530.35238

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DOI

10.1016/j.jde.2023.11.004

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6142411