Existence of pulses for a reaction-diffusion system of blood coagulation in Flow

A reaction-diffuusion system describing blood coagulation in flow is studied. We prove the existence of stationary solutions provided that the speed of the travelling wave problem for the limiting value of the velocity is positive. The implications to the problem of clot growth are discussed. ©2019 the Author(s), licensee AIMS Press.

Авторы
Ratto N.1 , Marion M.1 , Volpert V. 2, 3, 4, 5
Издательство
American Institute of Mathematical Sciences
Номер выпуска
5
Язык
Английский
Страницы
4196-4212
Статус
Опубликовано
Том
16
Год
2019
Организации
  • 1 Institut Camille Jordan, UMR 5585 CNRS, Ecole Centrale de Lyon, Ecully, 69134, France
  • 2 Institut Camille Jordan, University Lyon 1, UMR 5585 CNRS, Villeurbanne, 69622, France
  • 3 INRIA, Institut Camille Jordan, Université de Lyon, Université Lyon 1, 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 Marchuk Institute of Numerical Mathematics of RAS, ul. Gubkina 8, Moscow, 119333, Russian Federation
Ключевые слова
Blood coagulation in flow; Existence of pulses; Leray-schauder method; Reaction-diffuusion system
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/38898/
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