Počet záznamů: 1
Existence and uniqueness of maximal strong solution of a 1D blood flow in a network of vessels
- 1.0545342 - MÚ 2023 RIV GB eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GA19-04243S
Institucionální podpora: RVO:67985840
Klíčová slova: fluid–structure interaction * maximal-in-time solutions * one-dimensional blood flow model * strong solutions
Obor OECD: Pure mathematics
Impakt faktor: 2, rok: 2022
Způsob publikování: Omezený přístup
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.
Trvalý link: http://hdl.handle.net/11104/0322057
Počet záznamů: 1