Open AccessThe Cauchy problem for viscous shallow water equations
Author(s) -
Weike Wang,
Chao-Jiang Xu
Publication year - 2005
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/412
Subject(s) - shallow water equations , mathematics , cauchy problem , initial value problem , mathematical analysis , cauchy distribution , geology
In this paper we study the Cauchy problem for viscous shallow water equations. We work in the Sobolev spaces of index s > 2 to obtain local solutions for any initial data, and global solutions for small initial data.
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