Global existence for the Cauchy problem for the viscous shallow water equations

被引：45

作者：

Sundbye, L ^{[1
]}

机构：

[1] Metropolitan State Coll, Dept Math & Comp Sci, Denver, CO 80217 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1998年 / 28卷 / 03期

关键词：

D O I：

10.1216/rmjm/1181071760

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A global existence and uniqueness theorem of strong solutions for the initial-value problem for the viscous shallow water equations is established for small initial data and no forcing. Polynomial L-2 and L-infinity decay rates are established and the solution is shown to be classical for t > 0.

引用

页码：1135 / 1152

页数：18

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