4.6 Article

Stability of traveling waves of the nonlocal Fisher-KPP equation

Journal

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2021.112399

Keywords

Traveling wave solutions; Nonlocal; Fisher-KPP equation; Stability

Funding

  1. NSF of China [11861056]

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This paper focuses on the stability of traveling wave solutions of the nonlocal Fisher-KPP equation, and establishes the asymptotic stability of traveling wave solutions with large wave speeds using the anti-weighted method and energy estimates.
The existence of traveling wave solutions of the nonlocal Fisher-KPP equation has been widely studied. In this paper we concern the stability of traveling wave solutions of the equation. By the anti-weighted method and the energy estimates, we establish the asymptotic stability of traveling wave solutions with large wave speeds. (C) 2021 Elsevier Ltd. All rights reserved.

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