Traveling-wave solutions of parabolic systems with discontinuous nonlinear terms

被引：17

作者：

Volpert, AI

Volpert, VA

机构：

[1] Northwestern Univ, Dept Engn Sci & Appl Math, Evanston, IL 60208 USA

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 01期

关键词：

parabolic system; traveling wave; existence;

D O I：

10.1016/S0362-546X(01)00103-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A study of traveling-wave solutions (TWS) of parabolic systems with discontinuous nonlinear terms was performed. TWS of parabolic systems described transitions from one equilibrium state of the system to another. The analysis was performed using topological degree approach and the Leray-Schauder method. The index of a stationary point determined by virtue of the Fredholm property of the corresponding operator was used for the application of the Leray-Schauder method.

引用

页码：113 / 139

页数：27

共 17 条

[1]

[Anonymous], 1937, B MOSCOW U MATH MECH, DOI DOI 10.1007/978-94-011-3030-1_38

[2] TRAVELING WAVE SOLUTIONS TO COMBUSTION MODELS AND THEIR SINGULAR LIMITS [J].