The free boundary Euler equations with large surface tension
From MaRDI portal
Publication:281637
DOI10.1016/j.jde.2016.03.029zbMath1375.35344arXiv1506.02094OpenAlexW2264236296MaRDI QIDQ281637
David G. Ebin, Marcelo M. Disconzi
Publication date: 11 May 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1506.02094
Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Free boundary problems for PDEs (35R35) Euler equations (35Q31)
Related Items
Motion of slightly compressible fluids in a bounded domain, II ⋮ On the impossibility of finite-time splash singularities for vortex sheets ⋮ Local-in-time existence of a free-surface 3D Euler flow with H 2+δ initial vorticity in a neighborhood of the free boundary ⋮ On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid ⋮ On the existence of solutions and causality for relativistic viscous conformal fluids ⋮ On the local existence of the free-surface Euler equation with surface tension ⋮ A regularity result for the free boundary compressible Euler equations of a liquid ⋮ On the local existence for the Euler equations with free boundary for compressible and incompressible fluids ⋮ On a linear problem arising in dynamic boundaries ⋮ 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 ⋮ On a viable first-order formulation of relativistic viscous fluids and its applications to cosmology
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite time singularities for the free boundary incompressible Euler equations
- On the finite-time splash and splat singularities for the 3-D free-surface Euler equations
- Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
- Hitchhiker's guide to the fractional Sobolev spaces
- On a linear problem arising in dynamic boundaries
- Global wellposedness of the 3-D full water wave problem
- On the two-phase Navier-Stokes equations with surface tension
- Local well-posedness for fluid interface problems
- 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
- Partial differential equations. III: Nonlinear equations.
- Unsteady motion of a finite mass of fluid, bounded by a free surface
- Gravity waves on the free surface of an incompressible perfect fluid of finite depth
- The Cauchy problem for quasi-linear symmetric hyperbolic systems
- The motion of slightly compressible fluids viewed as a motion with strong constraining force
- Elliptic partial differential equations of second order
- Perturbation theory for linear operators.
- Remarks on the Euler equation
- Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum
- Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension
- A simple proof of well-posedness for the free-surface incompressible Euler equations
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Linear evolution equations of hyperbolic type. II
- On the three-dimensional Euler equations with a free boundary subject to surface tension
- On the Limit of Large Surface Tension for a Fluid Motion with Free Boundary
- Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
- On the uniqueness of motion of viscous gaseous stars
- 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 Motion of Gaseous Stars in The Presence of Radiation
- An existence theory for water waves and the boussinesq and korteweg-devries scaling limits
- The equations of motion of a perfect fluid with free boundary are not well posed.
- Motion of slightly compressible fluids in a bounded domain. I
- Well-posedness in Sobolev spaces of the full water wave problem in 3-D
- Well-Posedness of Vortex Sheets with Surface Tension
- Well-posedness of the water-waves equations
- Well‐posedness for the linearized motion of an incompressible liquid with free surface boundary
- Motion of slightly compressible fluids in a bounded domain, II
- 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
- Seminar on Atiyah-Singer Index Theorem. (AM-57)
- The zero surface tension limit two‐dimensional water waves
- Uniqueness theorems for surfaces in the large. I, II, III, IV, V
- Two dimensional water waves in holomorphic coordinates II: global solutions
