Existence of waves for a reaction–diffusion–dispersion system

Existence of travelling waves is studied for a bistable reaction–diffusion system of equations with linear integral terms (dispersion) and with some conditions on the nonlinearity. The proof is based on the Leray–Schauder method using the topological degree theory for Fredholm and proper operators with the zero index and a priori estimates of solutions in properly chosen weighted spaces. © 2018 Elsevier Ltd

Authors
Sen M.1 , Volpert V. 2, 3, 4, 5 , Vougalter V.6
Journal
Nonlinear Analysis, Theory, Methods and Applications
Publisher
Elsevier Ltd
Language
English
Pages
52-66
Status
Published
Link
External link
DOI
10.1016/j.na.2018.09.011
Volume
180
Year
2019
Organizations
  • 1 National Institute of Technology, Patna, Bihar, India
  • 2 Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France
  • 3 INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, Villeurbanne Cedex, 69200, France
  • 4 Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 5 Poncelet Center, UMI 2615 CNRS, 11 Bolshoy Vlasyevskiy, Moscow, 119002, Russian Federation
  • 6 Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada
Keywords
Dispersion; Reaction–diffusion system; Travelling waves
Date of creation
04.02.2019
Date of change
04.02.2019
Short link
https://repository.rudn.ru/en/records/article/record/36064/
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