Asymptotic models for viscoelastic one-dimensional blood flow
Analysis of PDEs
2026-04-08 v1 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
We derive a unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries. We prove local well-posedness of strong solutions in Sobolev spaces for general parameters and mean-zero periodic data. In the purely elastic BBM regime we further establish global existence and exponential decay for sufficiently small initial data. We also present a numerical study of the reduced model, including comparisons across different viscoelastic and amplitude regimes, and discuss the observed dynamics in connection with the continuation criterion.
Cite
@article{arxiv.2604.05679,
title = {Asymptotic models for viscoelastic one-dimensional blood flow},
author = {Diego Alonso-Orán and Rafael Granero-Belinchón and Carlos Yanes Pérez},
journal= {arXiv preprint arXiv:2604.05679},
year = {2026}
}
Comments
35 pages