Global well-posedness of free interface problems for the incompressible inviscid resistive MHD
DOI10.1007/s00220-021-04235-3zbMath1477.35182arXiv2009.11636OpenAlexW3210793092MaRDI QIDQ2052687
Publication date: 26 November 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11636
free boundary problemMaxwell equationsmagnetohydrodynamic equations (MHD)plasma-vacuum interface problem
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the absence of splash singularities in the case of two-fluid interfaces
- Local well-posedness of the viscous surface wave problem without surface tension
- Finite time singularities for the free boundary incompressible Euler equations
- Instability theory of the Navier-Stokes-Poisson equations
- A priori estimates for 3D incompressible current-vortex sheets
- On the free boundary problem of magnetohydrodynamics
- Global wellposedness of the 3-D full water wave problem
- Local well-posedness for fluid interface problems
- Solvability of a free boundary problem of magnetohydrodynamics in an infinite time interval
- Large-time regularity of viscous surface waves
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- Decaying solution of a Navier-Stokes flow without surface tension
- Almost global wellposedness of the 2-D full water wave problem
- Unsteady motion of a finite mass of fluid, bounded by a free surface
- About an initial-boundary value problem from magneto-hydrodynamics
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Solvability and regularity for an elliptic system prescribing the curl, divergence, and partial trace of a vector field on Sobolev-class domains
- Sharp nonlinear stability criterion of viscous non-resistive MHD internal waves in 3D
- Finite-time singularity formation for incompressible Euler moving interfaces in the plane
- Global solutions of the gravity-capillary water-wave system in three dimensions
- Almost exponential decay of periodic viscous surface waves without surface tension
- Free boundary problems of magnetohydrodynamics in multi-connected domains
- Anisotropic decay and global well-posedness of viscous surface waves without surface tension
- Global solutions for the gravity water waves system in 2d
- Splash singularities for the free boundary Navier-Stokes equations
- 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
- Decay of viscous surface waves without surface tension in horizontally infinite domains
- A priori estimates for free boundary problem of incompressible inviscid magnetohydrodynamic flows
- The viscous surface-internal wave problem: global well-posedness and decay
- An Introduction to Magnetohydrodynamics
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- On a free boundary problem of magnetohydrodynamics for a viscous incompressible fluid not subjected to capillary forces
- Well-posedness of the linearized plasma-vacuum interface problem in ideal incompressible MHD
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
- Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
- 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
- The equations of motion of a perfect fluid with free boundary are not well posed.
- The initial value problem for the navier-stokes equations with a free surface
- SOLVABILITY OF A PROBLEM ON THE MOTION OF A VISCOUS INCOMPRESSIBLE FLUID BOUNDED BY A FREE SURFACE
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
- Global Regularity for 2d Water Waves with Surface Tension
- Magnetohydrodynamics of Laboratory and Astrophysical Plasmas
- Ill-posedness of the rayleigh-taylor and helmholtz problems for incompressible fluids
- Global Existence for Capillary Water Waves
- Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves
- A priori estimates for fluid interface problems
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- Global solutions for the gravity water waves equation in dimension 3