Phragmen-Lindelof alternative results for the shallow water equations for transient compressible viscous flow

被引：2

作者：

Liu, Yan ^{[1
]}

Chen, Yuanlong ^{[1
]}

Luo, Changri ^{[2
]}

Lin, Changhao ^{[3
]}

机构：

[1] Guangdong Univ Finance, Dept Appl Math, Guangzhou 510521, Guangdong, Peoples R China

[2] Cent China Normal Univ, Dept Comp Sci, Wuhan 430079, Hubei, Peoples R China

[3] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 398卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Shallow water equations; Transient compressible viscous flow; Phragmen-Lindelof alternative; Saint-Venant's Principle; SPATIAL DECAY BOUNDS; NAVIER-STOKES EQUATIONS; GLOBAL EXISTENCE; CAUCHY-PROBLEM;

D O I：

10.1016/j.jmaa.2012.08.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the spatial behavior of the viscous shallow water equations in a two-dimensional channel domain is studied. A differential inequality for suitable energy associated with the solutions of the viscous shallow water equations in a semi-infinite channel is derived, from which we show the Phragmen-Lindelof alternative results. The main tool used is the energy method. Our results can be viewed as a version of Saint-Venant's principle to the transient compressible viscous flow. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：409 / 420

页数：12

共 31 条

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