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Local well‐posedness of the viscous rotating shallow water equations with a term of capillarity
Author(s) -
Wu G.,
Zhang B.
Publication year - 2010
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200900407
Subject(s) - uniqueness , shallow water equations , term (time) , bounded function , zero (linguistics) , mathematical analysis , fourier transform , mathematics , initial value problem , physics , linguistics , philosophy , quantum mechanics
Abstract Making use of the Fourier localization method, we prove the local‐in‐time existence and uniqueness of solutions to the viscous rotating shallow water equations with a term of capillarity under both the low regularity assumption on the initial data and the assumption that the initial height is bounded away from zero.