On the local existence and uniqueness for the 3D Euler equation with a free interface

DOI10.1007/s00245-016-9360-6zbMath1384.35074OpenAlexW2405659890MaRDI QIDQ681936

Vlad C. Vicol, Igor Kukavica, Amjad M. Tuffaha

Publication date: 13 February 2018

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00245-016-9360-6

zbMATH Keywords

waveslocal existenceEuler equationsfree surfaceCauchy invarianceTaylor condition

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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