Well-posedness of the free boundary problem in incompressible MHD with surface tension
DOI10.1007/s00526-022-02302-8zbMath1495.35148arXiv2104.14136OpenAlexW3157250028WikidataQ113904932 ScholiaQ113904932MaRDI QIDQ2165645
Publication date: 22 August 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.14136
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- A priori estimates for 3D incompressible current-vortex sheets
- On the Cauchy problem for gravity water waves
- On the motion of free interface in ideal incompressible MHD
- On the water-wave equations with surface tension
- On the well-posedness of a linearized plasma-vacuum interface problem in ideal compressible MHD
- Para-differential calculus and applications to the Cauchy problem for nonlinear systems
- Stability of incompressible current-vortex sheets
- The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
- Well-posedness of the water-wave problem with surface tension
- Pseudodifferential operators and nonlinear PDE
- Lectures on nonlinear hyperbolic differential equations
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Stabilization effect of magnetic fields on two-dimensional compressible current-vortex sheets
- Well-posedness of the two-phase flow problem in incompressible MHD
- Local well-posedness of free-boundary incompressible elastodynamics with surface tension via vanishing viscosity limit
- 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
- Well-posedness of 3D vortex sheets with surface tension
- Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
- Existence of compressible current-vortex sheets: Variable coefficients linear analysis
- Vorticity and Incompressible Flow
- On the existence of incompressible current-vortex sheets: study of a linearized free boundary value problem
- Fourier Analysis and Nonlinear Partial Differential Equations
- A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations 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
- On the motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity
- On the Limit as the Density Ratio Tends to Zero for Two Perfect Incompressible Fluids Separated by a Surface of Discontinuity
- The zero surface tension limit of three-dimensional water waves
- Small divisor problem in the theory of three-dimensional water gravity waves
- Paralinearization of the Dirichlet to Neumann Operator, and Regularity of Three-Dimensional Water Waves
- Long time existence for a slightly perturbed vortex sheet
- NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
- Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Growth rates for the linearized motion of fluid interfaces away from equilibrium
- Well-Posedness of Vortex Sheets with Surface Tension
- Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
- Well-posedness of the water-waves equations
- A priori estimates for fluid interface problems
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Mathematical analysis of vortex sheets
- The zero surface tension limit two‐dimensional water waves
- Well-posedness of the plasma–vacuum interface problem
This page was built for publication: Well-posedness of the free boundary problem in incompressible MHD with surface tension