GLOBAL EXISTENCE OF SOLUTIONS TO A COUPLED PARABOLIC-HYPERBOLIC SYSTEM WITH MOVING BOUNDARY

被引：11

作者：

Choi, Y. S. ^{[1
]}

Miller, Craig ^{[2
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[2] Univ New Haven, Dept Math, West Haven, CT 06516 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 09期

关键词：

Global existence; coupled parabolic-hyperbolic equations; method of characteristics; NEMATODE SPERM CELL; MODEL; MOTILITY;

D O I：

10.1090/S0002-9939-2011-10801-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A cell motility study leads to a moving boundary problem governed by a system of parabolic-hyperbolic equations. Establishing the parabolicity of one of the governing equations requires a priori bound analysis. Such bounds also exclude the formation of shock in the hyperbolic equation. Speeds of the moving boundaries can then be controlled, which eventually leads to the global existence of solutions.

引用

页码：3257 / 3270

页数：14

共 11 条

[1]

[Anonymous], 1967, TRANSLATIONS MATH MO

[2]

CARDETTI F, 2009, ELECT J DIFFERENTIAL, P1

[3] Linearized stability of traveling cell solutions arising from a moving boundary problem [J].