A sharp regularity result for the Euler equation with a free interface

DOI10.3233/ASY-171459zbMath1391.35315OpenAlexW2784750104MaRDI QIDQ4641744

Igor Kukavica, Amjad M. Tuffaha

Publication date: 18 May 2018

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-171459

zbMATH Keywords

waveslocal existenceEuler equationsfree boundaryTaylor condition

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Free boundary problems for PDEs (35R35)

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Local-in-time existence of a free-surface 3D Euler flow with H ^2+δ initial vorticity in a neighborhood of the free boundary ⋮ A regularity result for the incompressible inviscid magnetohydrodynamics equations in the arbitrary Lagrangian-Eulerian coordinates

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