Entire solutions in monostable reaction-advection-diffusion equations in infinite cylinders

被引：5

作者：

Sheng, Wei-Jie ^{[1
]}

Liu, Nai-Wei ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 11期

关键词：

Entire solution; Quasi-invariant manifold; Monostable; Infinite cylinder; TRAVELING-WAVE-FRONTS; FLAME PROPAGATION; POPULATION-DYNAMICS; ASYMPTOTIC-BEHAVIOR; STABILITY; EXISTENCE; SPEEDS; MODEL;

D O I：

10.1016/j.na.2011.03.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with entire solutions of a monostable reaction-advection-diffusion equation in infinite cylinders without the condition f '(u) <= f '(0). By constructing a quasi-invariant manifold, we prove that there exist two classes of entire solutions. Furthermore, we show that one class of such entire solutions is unique up to space and time translation. (C) 2011 Elsevier Ltd. All rights reserved

引用

页码：3540 / 3547

页数：8

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