Global solutions to the shallow water system with a method of an additional argument

DOI10.1080/00036811.2016.1208817zbMath1375.35354arXiv1603.04680OpenAlexW2490573329WikidataQ58301402 ScholiaQ58301402MaRDI QIDQ5350639

M. V. Dontsova, S. N. Alekseenko, Dmitry E. Pelinovsky

Publication date: 1 September 2017

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04680

zbMATH Keywords

shallow water equationsglobal existenceclassical solutionsmethod of an additional argument

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Initial-boundary value problems for first-order hyperbolic systems (35L50) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Classical solutions to PDEs (35A09)

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