Estimate of the travelling wave speed for an integro-differential equation

Travelling waves for nonlocal reaction–diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and an...

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Veröffentlicht in:	Applied mathematics letters 2019-02, Vol.88, p.103-110
Hauptverfasser:	Bessonov, N., Beuter, A., Trofimchuk, S., Volpert, V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis of PDEs Estimates Mathematics Minimax representation Nonlocal reaction–diffusion equation Wave speed
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Beschreibung
Zusammenfassung:	Travelling waves for nonlocal reaction–diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and another one by the nonlocal interaction.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2018.07.037