On the local well-posedness for a full-dispersion Boussinesq system with surface tension

DOI10.1090/proc/14397zbMath1416.35207arXiv1805.04372OpenAlexW2964071106WikidataQ129188061 ScholiaQ129188061MaRDI QIDQ5377069

Henrik Kalisch, Didier Pilod

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04372

zbMATH Keywords

Boussinesq systemshallow-waterfree surface water wavespriori esstimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Free boundary problems for PDEs (35R35) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (9)

Long time well-posedness of Whitham–Boussinesq systems ⋮ Well-posedness for a Whitham-Boussinesq system with surface tension ⋮ Solitary wave solutions to a class of Whitham-Boussinesq systems ⋮ Well-Posedness for a Dispersive System of the Whitham--Boussinesq Type ⋮ Numerical bifurcation and stability for the capillary-gravity Whitham equation ⋮ A note on well-posedness of bidirectional Whitham equation ⋮ Well-posedness to the Cauchy problem of a fully dispersive Boussinesq system ⋮ Solitary wave solutions of a Whitham-Boussinesq system ⋮ Rigorous Derivation from the Water Waves Equations of Some Full Dispersion Shallow Water Models

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