Journal of Inorganic Biochemistry.
Elsevier Inc..
Vol. 191.
2019.
P. 49-59
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 another one by the nonlocal interaction. © 2018 Elsevier Ltd
Authors
Bessonov N.1
,
Beuter A.2,
3
,
Trofimchuk S.4
,
Volpert V.
5,
6,
7,
8
Journal
Publisher
Elsevier Ltd
Language
English
Pages
103-110
Status
Published
Link
Volume
88
Year
2019
Organizations
- 1 Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, Saint Petersburg, 199178, Russian Federation
- 2 Bordeaux INP, Bordeaux, France
- 3 Equipage Innovation SARL, Plérin, France
- 4 Instituto de Matematica y Fisica, Universidad de Talca, CasillaTalca, 747, Chile
- 5 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
- 6 INRIA Team Dracula, INRIA Lyon La Doua, Villeurbanne, 69603, France
- 7 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
- 8 Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow, 119002, Russian Federation
Keywords
Estimates; Minimax representation; Nonlocal reaction–diffusion equation; Wave speed
Date of creation
04.02.2019
Date of change
04.02.2019
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Other records
Journal of Computational Chemistry.
John Wiley and Sons Inc..
Vol. 40.
2019.
P. 562-571