Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels

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SYSNO ASEP	0545342
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels
Author(s)	Maity, D. (IN) Raymond, J.-P. (FR) Roy, Arnab (MU-W)_{SAI, ORCID, RID}
Article number	103405
Source Title	Nonlinear Analysis: Real World Applications. - : Elsevier - ISSN 1468-1218 Roč. 63, February (2022)
Number of pages	33 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	fluid–structure interaction ; maximal-in-time solutions ; one-dimensional blood flow model ; strong solutions
Subject RIV	BA - General Mathematics
OECD category	Pure mathematics
R&D Projects	GA19-04243S GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	MU-W - RVO:67985840
UT WOS	000701818600024
EID SCOPUS	85113364159
DOI	10.1016/j.nonrwa.2021.103405
Annotation	We study the well-posedness of a system of one-dimensional partial differential equations modeling blood flows in a network of vessels with viscoelastic walls. We prove the existence and uniqueness of maximal strong solution for this type of hyperbolic/parabolic model. We also prove a stability estimate under suitable nonlinear Robin boundary conditions.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2023
Electronic address	https://doi.org/10.1016/j.nonrwa.2021.103405

Number of the records: 1