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.

Authors
Ratto N.1 , Marion M.1 , Volpert V. 2, 3, 4, 5
Journal
Mathematical Biosciences and Engineering
Publisher
American Institute of Mathematical Sciences
Number of issue
5
Language
English
Pages
4196-4212
Status
Published
Link
External link
DOI
10.3934/mbe.2019209
Volume
16
Year
2019
Organizations
  • 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
Keywords
Blood coagulation in flow; Existence of pulses; Leray-schauder method; Reaction-diffuusion system
Date of creation
19.07.2019
Date of change
19.07.2019
Short link
https://repository.rudn.ru/en/records/article/record/38898/
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