Sufficiently strong dispersion removes ill-posedness in truncated series models of water waves
DOI10.3934/dcds.2019129zbMath1415.76074OpenAlexW2919739544WikidataQ128234657 ScholiaQ128234657MaRDI QIDQ2423617
David M. Ambrose, Shunlian Liu
Publication date: 20 June 2019
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2019129
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Free-surface potential flows for incompressible inviscid fluids (76B07) Paradifferential operators as generalizations of partial differential operators in context of PDEs (35S50)
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