NONMONOTONICITY OF TRAVELING WAVE PROFILES FOR A UNIMODAL RECURSIVE SYSTEM

Jian Fang; Yingli Pan

doi:10.1137/21M139236X

NONMONOTONICITY OF TRAVELING WAVE PROFILES FOR A UNIMODAL RECURSIVE SYSTEM

Jian Fang
, Yingli Pan^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
Renmin University of China

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

4 Scopus citations

Abstract

Recursive systems of unimodal type may exhibit rich propagation dynamics. The shape of traveling wave profiles is one of the unsolved questions in this challenging topic. In this paper, we obtain criteria for the nonmonotonicity of wave profiles in terms of an eigenvalue problem. The proofs rely on establishing several nonlocal Harnack type inequalities, which may be of interest on their own. The existence and uniqueness of traveling waves are also obtained based on these inequalities.

Original language	English
Pages (from-to)	1669-1694
Number of pages	26
Journal	SIAM Journal on Mathematical Analysis
Volume	54
Issue number	2
DOIs	https://doi.org/10.1137/21M139236X
State	Published - 2022
Externally published	Yes

Keywords

nonlocal Harnack inequality
traveling wave
unimodal recursive system

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10.1137/21M139236X

Cite this

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abstract = "Recursive systems of unimodal type may exhibit rich propagation dynamics. The shape of traveling wave profiles is one of the unsolved questions in this challenging topic. In this paper, we obtain criteria for the nonmonotonicity of wave profiles in terms of an eigenvalue problem. The proofs rely on establishing several nonlocal Harnack type inequalities, which may be of interest on their own. The existence and uniqueness of traveling waves are also obtained based on these inequalities.",

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N2 - Recursive systems of unimodal type may exhibit rich propagation dynamics. The shape of traveling wave profiles is one of the unsolved questions in this challenging topic. In this paper, we obtain criteria for the nonmonotonicity of wave profiles in terms of an eigenvalue problem. The proofs rely on establishing several nonlocal Harnack type inequalities, which may be of interest on their own. The existence and uniqueness of traveling waves are also obtained based on these inequalities.

AB - Recursive systems of unimodal type may exhibit rich propagation dynamics. The shape of traveling wave profiles is one of the unsolved questions in this challenging topic. In this paper, we obtain criteria for the nonmonotonicity of wave profiles in terms of an eigenvalue problem. The proofs rely on establishing several nonlocal Harnack type inequalities, which may be of interest on their own. The existence and uniqueness of traveling waves are also obtained based on these inequalities.

KW - nonlocal Harnack inequality

KW - traveling wave

KW - unimodal recursive system

UR - https://www.scopus.com/pages/publications/85128951737

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M3 - 文章

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NONMONOTONICITY OF TRAVELING WAVE PROFILES FOR A UNIMODAL RECURSIVE SYSTEM

Abstract

Keywords

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