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

Авторы
Sen M.1 , Volpert V. 2, 3, 4, 5 , Vougalter V.6
Издательство
Elsevier Ltd
Язык
Английский
Страницы
52-66
Статус
Опубликовано
Том
180
Год
2019
Организации
  • 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
Ключевые слова
Dispersion; Reaction–diffusion system; Travelling waves
Цитировать
Поделиться

Другие записи