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A Priori Estimates for Free Boundary Problem of Incompressible Inviscid Magnetohydrodynamic Flows
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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On the motion of the free surface of a liquid
inferredcites →https://doi.org/10.1002/cpa.10055openalex-snapshot
Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
inferredcites →https://doi.org/10.1002/cpa.20085openalex-snapshot
The zero surface tension limit two‐dimensional water waves
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Geometry and a priori estimates for free boundary problems of the Euler's equation
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On the free boundary problem of three‐dimensional incompressible Euler equations
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Some mathematical questions related to the mhd equations
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Growth rates for the linearized motion of fluid interfaces away from equilibrium
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Inéquations en thermoélasticité et magnétohydrodynamique
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The fixed boundary value problems for the equations of ideal Magneto-Hydrodynamics with a perfectly conducting wall condition
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Existence and Stability of Compressible Current-Vortex Sheets in Three-Dimensional Magnetohydrodynamics
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The Existence of Current-Vortex Sheets in Ideal Compressible Magnetohydrodynamics
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Global Existence and Large-Time Behavior of Solutions to the Three-Dimensional Equations of Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1007/s00220-008-0497-2openalex-snapshot
Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows
inferredcites →https://doi.org/10.1007/s002220050177openalex-snapshot
Well-posedness in Sobolev spaces of the full water wave problem in 2-D
inferredcites →https://doi.org/10.1016/0022-0396(88)90008-3openalex-snapshot
On a magnetohydrodynamic problem of Euler type
inferredcites →https://doi.org/10.1016/j.jde.2010.06.007openalex-snapshot
On the well-posedness of a linearized plasma–vacuum interface problem in ideal compressible MHD
inferredcites →https://doi.org/10.1016/j.jde.2011.06.004openalex-snapshot
Global strong solution to the three-dimensional density-dependent incompressible magnetohydrodynamic flows
inferredcites →https://doi.org/10.1016/j.jfa.2005.06.009openalex-snapshot
Partial regularity of suitable weak solutions to the incompressible magnetohydrodynamic equations
inferredcites →https://doi.org/10.1017/cbo9780511616945openalex-snapshot
Principles of Magnetohydrodynamics
inferredcites →https://doi.org/10.1080/03605308708820523openalex-snapshot
The equations of motion of a perfect fluid with free boundary are not well posed.
inferredcites →https://doi.org/10.1090/s0894-0347-07-00556-5openalex-snapshot
Well-posedness of the free-surface incompressible Euler equations with or without surface tension
inferredcites →https://doi.org/10.1090/s0894-0347-99-00290-8openalex-snapshot
Well-posedness in Sobolev spaces of the full water wave problem in 3-D
inferredcites →https://doi.org/10.1142/s0218202502002173openalex-snapshot
ON THE INVISCID AND NON-RESISTIVE LIMIT FOR THE EQUATIONS OF INCOMPRESSIBLE MAGNETOHYDRODYNAMICS
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A PRIORI ESTIMATES FOR THE MOTION OF A SELF-GRAVITATING INCOMPRESSIBLE LIQUID WITH FREE SURFACE BOUNDARY
inferredcites →https://doi.org/10.4007/annals.2005.162.109openalex-snapshot
Well-posedness for the motion of an incompressible liquid with free surface boundary
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
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Expansion of a compressible non‐barotropic fluid in vacuum
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Geometric Optics for Surface Waves on the Plasma–Vacuum Interface: Higher Order Expansion
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Equations for Viscoelastic Fluids
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A Priori Estimates of Plasma-Vacuum Interface Problem for 2D Incompressible Ideal MHD
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A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Magnetohydrodynamics Equations with Surface Tension
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A priori estimates for free boundary problem of 3D incompressible inviscid rotating Boussinesq equations
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Global well-posedness of the free-surface incompressible ideal MHD equations with velocity damping
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On the Motion of Free Interface in Ideal Incompressible MHD
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Well-Posedness of the Plasma–Vacuum Interface Problem for Ideal Incompressible MHD
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Well-posedness of Free Boundary Problem in Non-relativistic and Relativistic Ideal Compressible Magnetohydrodynamics
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On the Free Surface Motion of Highly Subsonic Heat-Conducting Inviscid Flows
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Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics
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Well-Posedness of the Two-Dimensional Compressible Plasma-Vacuum Interface Problem
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Well-posedness for the free-boundary ideal compressible magnetohydrodynamic equations with surface tension
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Ill-Posedness of Free Boundary Problem of the Incompressible Ideal MHD
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Global Well-Posedness of Free Interface Problems for the Incompressible Inviscid Resistive MHD
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Well-posedness of the free boundary problem in incompressible MHD with surface tension
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Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics
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Suitable Weak Solutions of the Incompressible Magnetohydrodynamic Equations in Time Varying Domains
inferred← citeshttps://doi.org/10.1007/s10473-025-0405-2openalex-snapshot
The free interface problem of plasma-vacuum with surface tension in a tube domain
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Local well-posedness of the incompressible current-vortex sheet problems
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A priori estimates for the free boundary problem of incompressible neo-Hookean elastodynamics
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Well-posedness of the free boundary problem in incompressible elastodynamics
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Local well-posedness of the free-surface incompressible elastodynamics
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Existence of local strong solutions for the incompressible viscous and non-resistive MHD-structure interaction model
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Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations
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Splash singularity for the free boundary incompressible viscous MHD
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Local well-posedness of the plasma-vacuum interface problem for the ideal incompressible MHD
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On the splash singularity for the free-boundary problem of the viscous and non-resistive incompressible magnetohydrodynamic equations in 3D
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On the 2D plasma-vacuum interface problems for ideal incompressible MHD
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A regularity result for the incompressible inviscid magnetohydrodynamics equations in the Arbitrary Lagrangian-Eulerian coordinates
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On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
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Weakly nonlinear surface waves on the plasma–vacuum interface
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Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension
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Ill-posedness of incompressible Kelvin–Helmholtz problem with transverse magnetic field
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A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary
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Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics*
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A priori estimates and a blow-up criterion for the incompressible ideal MHD equations with surface tension and a closed free surface
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On vacuum free boundary problems in ideal compressible magnetohydrodynamics
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Uniform Estimate of Viscous Free-Boundary Magnetohydrodynamics with Zero Vacuum Magnetic Field
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A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension
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Well-Posedness of the Free Boundary Problem in Elastodynamics with Mixed Stability Condition
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Some results on free boundary problems of incompressible ideal magnetohydrodynamics equations
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A priori estimates for the free boundary problem of incompressible inviscid Boussinesq and MHD-Boussinesq equations without heat diffusion
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A Regularity Result for the Incompressible Elastodynamics with a Free Interface
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