Cauchy theory for the water waves system in an analytic framework

DOI10.3836/tjm/1502179355zbMath1496.35287arXiv2007.08329OpenAlexW3042409912MaRDI QIDQ2165826

Thomas Alazard, Claude Zuily, Nicolas Burq

Publication date: 23 August 2022

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.08329

zbMATH Keywords

Dirichlet-to-Neumann operatorwater-wavesanalytic Sobolev spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Analyticity in context of PDEs (35A20) Free boundary problems for PDEs (35R35) Euler equations (35Q31)

Related Items

On the transition of the Rayleigh-Taylor instability in 2d water waves with point vortices ⋮ On the analyticity of the Dirichlet-Neumann operator and Stokes waves

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