On the regularity of the flow map for the gravity-capillary equations

DOI10.1016/j.jfa.2012.09.020zbMath1270.35159arXiv1111.5361OpenAlexW2066532076MaRDI QIDQ1937463

Jeremy L. Marzuola, J. Douglas Wright, Robin Ming Chen, Daniel P. Spirn

Publication date: 1 March 2013

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.5361

zbMATH Keywords

air-water interfacewater wavesexplicitly constructed initial data

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Ill-posed problems for PDEs (35R25)

Related Items (7)

A Geometric Proof of the Quasi-Linearity of the Water Waves System ⋮ On the ill-posedness of a weakly dispersive one-dimensional Boussinesq system ⋮ Hadamard well-posedness of the gravity water waves system ⋮ On the Cauchy problem for gravity water waves ⋮ Strichartz Estimates and the Cauchy Problem for the Gravity Water Waves Equations ⋮ A Morawetz inequality for gravity-capillary water waves at low bond number ⋮ About global existence and asymptotic behavior for two dimensional gravity water waves

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