Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum
DOI10.1002/cpa.20344zbMath1217.35119arXiv0910.3136OpenAlexW2053952260MaRDI QIDQ3081313
Daniel Coutand, Steve Shkoller
Publication date: 7 March 2011
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0910.3136
Hardy-type inequalityphysical vacuum boundarydegenerate parabolic regularizationdegenerate viscosity solutionsfree boundary compressible inviscid flow
Hyperbolic conservation laws (35L65) Moving boundary problems for PDEs (35R37) Euler equations (35Q31) Compressibility effects in hydrodynamic stability (76E19)
Related Items
Cites Work
- Well posedness for the motion of a compressible liquid with free surface boundary
- Singular behavior of vacuum states for compressible fluids
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- A priori estimates for the free-boundary 3D compressible Euler equations in physical vacuum
- On the vacuum state for the equations of isentropic gas dynamics
- On the vacuum state for the isentropic gas dynamics equations
- Compressible Euler equations with vacuum
- Compressible flow with vacuum and physical singularity.
- Local existence with physical vacuum boundary condition to Euler equations with damping
- Compressible flow with damping and vacuum
- Local existence for the free boundary problem for nonrelativistic and Relativistic compressible Euler equations with a vacuum boundary condition
- Well-posedness for compressible Euler equations with physical vacuum singularity
- Well-posedness of the free-surface incompressible Euler equations with or without surface tension
This page was built for publication: Well-posedness in smooth function spaces for moving-boundary 1-D compressible euler equations in physical vacuum