Entire solutions of reaction-advection-diffusion equations with bistable nonlinearity in cylinders

被引：26
作者：
Liu, Nai-Wei [1 ]
Li, Wan-Tong [1 ]
Wang, Zhi-Cheng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 11期
关键词：
Entire solution; Reaction-advection-diffusion equation; Traveling wave front; Sub-super solution; Infinite cylinder; NON-LINEAR DIFFUSION; TRAVELING FRONTS; FLAME PROPAGATION; STABILITY; CONVERGENCE; WAVES; EXISTENCE; SPEEDS; MODEL;
D O I：
10.1016/j.jde.2008.12.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with entire Solutions and the interaction of traveling wave fronts of bistable reaction-advection-diffusion equation with infinite cylinders. Assume that the equation admits three equilibria: two stable equilibria 0 and 1, and an unstable equilibrium theta. It is well known that there are different wave fronts connecting any two of those three equilibria. By considering a combination of any two of those different traveling wave fronts and constructing appropriate subsolutions and supersolutions, we establish three different types of entire solutions. Finally, we analyze a model for shear flows in cylinders to illustrate our main results. (C) 2008 Elsevier Inc. All rights reserved.
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收藏
页码：4249 / 4267
页数：19
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