Local well-posedness for the motion of a compressible gravity water wave with vorticity
From MaRDI portal
Publication:2148946
DOI10.1016/j.jde.2022.06.001zbMath1504.35264arXiv2109.02822OpenAlexW3196632001MaRDI QIDQ2148946
Publication date: 24 June 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.02822
Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Moving boundary problems for PDEs (35R37) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items
Anisotropic regularity of the free-boundary problem in compressible ideal magnetohydrodynamics ⋮ A regularity result for the free boundary compressible Euler equations of a liquid ⋮ Local well-posedness of the free-boundary problem in compressible resistive magnetohydrodynamics
Cites Work
- Unnamed Item
- Unnamed Item
- Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation
- On the Cauchy problem for gravity water waves
- Remarks on the free boundary problem of compressible Euler equations in physical vacuum with general initial densities
- Two dimensional water waves in holomorphic coordinates
- Uniform regularity and vanishing viscosity limit for the free surface Navier-Stokes equations
- Global wellposedness of the 3-D full water wave problem
- 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 a compressible liquid with free surface boundary
- Well-posedness for the motion of an incompressible liquid with free surface boundary
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- Partial differential equations. I: Basic theory
- The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
- Almost global wellposedness of the 2-D full water wave problem
- Well-posedness of the water-wave problem with surface tension
- Gravity waves on the free surface of an incompressible perfect fluid of finite depth
- Well-posedness in Sobolev spaces of the full water wave problem in 2D
- Well-posedness for the linearized motion of a compressible liquid with free surface boundary
- Two-dimensional gravity water waves with constant vorticity. I: Cubic lifespan. With appendices by Mihaela Ifrim and Daniel Tataru.
- Finite depth gravity water waves in holomorphic coordinates
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Global solutions for the gravity water waves system in 2d
- Local well-posedness and incompressible limit of the free-boundary problem in compressible elastodynamics
- On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid
- Long time behavior of 2D water waves with point vortices
- Well-posedness of free boundary problem in non-relativistic and relativistic ideal compressible magnetohydrodynamics
- Local well-posedness for the motion of a compressible, self-gravitating liquid with free surface boundary
- On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
- A priori estimates for the 3D compressible free-boundary Euler equations with surface tension in the case of a liquid
- On the motion of a self-gravitating incompressible fluid with free boundary
- A simple proof of well-posedness for the free-surface incompressible Euler equations
- Existence and stability of compressible current-vortex sheets in three-dimensional magneto\-hydrodynamics
- Existence of compressible current-vortex sheets: Variable coefficients linear analysis
- Global solutions and asymptotic behavior for two dimensional gravity water waves
- Well-posedness of Compressible Euler Equations in a Physical Vacuum
- Existence d'ondes de rarefaction pour des systems quasi‐lineaires hyperboliques multidimensionnels
- Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
- Local boundary conditions for dissipative symmetric linear differential operators
- Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary
- Well-posedness for compressible Euler equations with physical vacuum singularity
- A PRIORI ESTIMATES FOR THE MOTION OF A SELF-GRAVITATING INCOMPRESSIBLE LIQUID WITH FREE SURFACE BOUNDARY
- 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
- A Priori Estimates for the Compressible Euler Equations for a Liquid with Free Surface Boundary and the Incompressible Limit
- Well-posedness of the water-waves equations
- Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
- Long‐Term Regularity of 3D Gravity Water Waves
- Global regularity for the 3D finite depth capillary water waves
- Vanishing Viscosity and Surface Tension Limits of Incompressible Viscous Surface Waves
- Modern Fourier Analysis
- A Lagrangian Interior Regularity Result for the Incompressible Free Boundary Euler Equation with Surface Tension
- A priori estimates for fluid interface problems
- Well-Posedness of the Free-Boundary Compressible 3-D Euler Equations with Surface Tension and the Zero Surface Tension Limit
- Geometry and a priori estimates for free boundary problems of the Euler's equation
- The zero surface tension limit two‐dimensional water waves
- Two dimensional water waves in holomorphic coordinates II: global solutions
- Well-posedness of the plasma–vacuum interface problem
- Global solutions for the gravity water waves equation in dimension 3
