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Applicable Analysis
An International Journal
Volume 99, 2020 - Issue 13
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Articles

Speed of wave propagation for a nonlocal reaction–diffusion equation

A. Moussaouia Department of Mathematics, Faculty of Sciences, University of Tlemcen, Tlemcen, AlgeriaView further author information
&
V. Volpertb Institut Camille Jordan, UMR 5208, CNRS, University Lyon 1, Villeurbanne, France;c INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, Villeurbanne Cedex, France;d Peoples Friendship University of Russia (RUDN University), Moscow, Russian Federation;e Poncelet Center, UMI 2615, CNRS, Moscow, Russian FederationCorrespondence[email protected]
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Pages 2307-2321 | Received 06 Oct 2018, Accepted 11 Dec 2018, Published online: 18 Dec 2018
 
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ABSTRACT

A nonlocal reaction–diffusion equation arising in various applications is studied. The speed of traveling waves is determined by means of a minimax representation. It is used to obtain the wave speed estimates and asymptotic values.

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Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

Second author is supported by the “RUDN University Program 5-100”.

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