Existence and uniqueness of weak solutions to multiscale interface couplings of PDEs and ODEs for tissue perfusion
Abstract
In biomechanics, local phenomena, such as tissue perfusion, are strictly related to the global features of the surrounding blood circulation. We consider a heterogeneous model where a local, accurate, 3D description of tissue perfusion by means of poroelasticity equations is coupled with a systemic, 0D, lumped model of the remainder of the circulation. This represents a multiscale strategy, which couples an initial boundary value problem to be used in a specific tissue region with an initial value problem in the rest of the circulatory system. New results on wellposedness analysis of this multiscale model are provided.
Fields of Study & Subjects
Advanced Mathematical Modeling in Engineering
Differential Equations and Boundary Problems
Advanced Numerical Methods in Computational Mathematics
Publication details
- Journal / source
- Journal of Mathematical Analysis and Applications
- Volume
- 558
- Issue
- 1
- Pages
- 130409–130409
- Publication date
- 14 January 2026
- Language
- EN