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2020 Existence of pulses for a reaction-diffusion system of blood coagulation
Nicolas Ratto, Martine Marion, Vitaly A. Volpert
Topol. Methods Nonlinear Anal. 55(1): 141-167 (2020). DOI: 10.12775/TMNA.2019.067

Abstract

The paper is devoted to the investigation of a reaction-diffusion system of equations describing the process of blood coagulation. Existence of pulse solutions, that is, positive stationary solutions with zero limit at infinity is studied. It is shown that such solutions exist if and only if the speed of the travelling wave described by the same system is positive. The proof is based on the Leray-Schauder method using topological degree for elliptic problems in unbounded domains and a priori estimates of solutions in some appropriate weighted spaces.

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Nicolas Ratto. Martine Marion. Vitaly A. Volpert. "Existence of pulses for a reaction-diffusion system of blood coagulation." Topol. Methods Nonlinear Anal. 55 (1) 141 - 167, 2020. https://doi.org/10.12775/TMNA.2019.067

Information

Published: 2020
First available in Project Euclid: 6 March 2020

zbMATH: 07199338
MathSciNet: MR4100381
Digital Object Identifier: 10.12775/TMNA.2019.067

Rights: Copyright © 2020 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.55 • No. 1 • 2020
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