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

Wei Jie Sheng; Nai Wei Liu

doi:10.1016/j.na.2011.03.007

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

Wei Jie Sheng^*
, Nai Wei Liu

^*Corresponding author for this work

Lanzhou University
Yantai University

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3540-3547
Number of pages	8
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	11
DOIs	https://doi.org/10.1016/j.na.2011.03.007
State	Published - Jul 2011
Externally published	Yes

Keywords

Entire solution
Infinite cylinder
Monostable
Quasi-invariant manifold

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10.1016/j.na.2011.03.007

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abstract = "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.",

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AB - 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.

KW - Entire solution

KW - Infinite cylinder

KW - Monostable

KW - Quasi-invariant manifold

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DO - 10.1016/j.na.2011.03.007

M3 - 文章

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IS - 11

ER -

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

Abstract

Keywords

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