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

0545342 - MÚ 2023 RIV GB eng J - Journal Article
Maity, D. - Raymond, J.-P. - Roy, Arnab
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels.
Nonlinear Analysis: Real World Applications. Roč. 63, February (2022), č. článku 103405. ISSN 1468-1218. E-ISSN 1878-5719
R&D Projects: GA ČR(CZ) GA19-04243S
Institutional support: RVO:67985840
Keywords : fluid–structure interaction * maximal-in-time solutions * one-dimensional blood flow model * strong solutions
OECD category: Pure mathematics
Impact factor: 2, year: 2022
Method of publishing: Limited access
https://doi.org/10.1016/j.nonrwa.2021.103405

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.
Permanent Link: http://hdl.handle.net/11104/0322057