The Linearized 2D Inviscid Shallow Water Equations in a Rectangle: Boundary Conditions and Well-Posedness

被引：19

作者：

Huang, Aimin ^{[1
]}

Temam, Roger ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2014年 / 211卷 / 03期

基金：

美国国家科学基金会;

关键词：

HYPERBOLIC SYSTEMS; EXISTENCE; REGIONS;

D O I：

10.1007/s00205-013-0702-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the linearized 2D inviscid shallow water equations in a rectangle. A set of boundary conditions is proposed which make these equations well-posed. Several different cases occur depending on the relative values of the reference velocities (u (0), v (0)) and reference height (sub- or super-critical flow at each part of the boundary).

引用

页码：1027 / 1063

页数：37

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