A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension
From MaRDI portal
Publication:3388519
DOI10.1137/19M1283938zbMath1468.35143arXiv1907.11827OpenAlexW3158389735MaRDI QIDQ3388519
Publication date: 5 May 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.11827
PDEs in connection with fluid mechanics (35Q35) Capillarity (surface tension) for incompressible inviscid fluids (76B45) First-order nonlinear hyperbolic equations (35L60) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)
Related Items
Zero surface tension limit of the free-boundary problem in incompressible magnetohydrodynamics* ⋮ Well-posedness of the free boundary problem in incompressible MHD with surface tension ⋮ Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ Local well-posedness of the free-boundary incompressible magnetohydrodynamics with surface tension ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics
Cites Work
- Unnamed Item
- Unnamed Item
- On the Cauchy problem for gravity water waves
- On the motion of free interface in ideal incompressible MHD
- On the local existence and uniqueness for the 3D Euler equation with a free interface
- Local well-posedness for fluid interface problems
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Elliptic equations in divergence form with partially BMO coefficients
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story
- On Kato-Ponce and fractional Leibniz
- Ill-posedness of free boundary problem of the incompressible ideal MHD
- Decay rates for the viscous incompressible MHD equations with and without surface tension
- Well-posedness of the plasma -- vacuum interface problem for ideal incompressible MHD
- On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
- A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
- On the three-dimensional Euler equations with a free boundary subject to surface tension
- Critical magnetic number in the magnetohydrodynamic Rayleigh-Taylor instability
- On the local existence of the free-surface Euler equation with surface tension
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- On the free boundary problem of three-dimensional incompressible Euler equations
- The equations of motion of a perfect fluid with free boundary are not well posed.
- Commutator estimates and the euler and navier-stokes equations
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
- A regularity result for the incompressible magnetohydrodynamics equations with free surface boundary
- A priori estimates for the free-boundary Euler equations with surface tension in three dimensions
- A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
- A priori estimates for fluid interface problems
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Well-posedness of the plasma–vacuum interface problem
