On the local existence for the Euler equations with free boundary for compressible and incompressible fluids

DOI10.1016/j.crma.2018.02.002zbMath1392.35206OpenAlexW2793464209MaRDI QIDQ1704672

Marcelo M. Disconzi, Igor Kukavica

Publication date: 12 March 2018

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2018.02.002

zbMATH Keywords

local existencesurface tensionfree boundarycompressible and incompressible Euler equationsrotational initial data

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Second-order nonlinear hyperbolic equations (35L70) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

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On the incompressible limit for the compressible free-boundary Euler equations with surface tension in the case of a liquid ⋮ A regularity result for the free boundary compressible Euler equations of a liquid

Cites Work

• The free boundary Euler equations with large surface tension
• On the local existence and uniqueness for the 3D Euler equation with a free interface
• Local well-posedness for fluid interface problems
• On the three-dimensional Euler equations with a free boundary subject to surface tension
• On the local existence of the free-surface Euler equation with surface tension
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• 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