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arXiv · 2604.05679

Asymptotic models for viscoelastic one-dimensional blood flow

Diego Alonso-Orán·Rafael Granero-Belinchón·Carlos Yanes Pérez
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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.

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Diego Alonso-Orán, Rafael Granero-Belinchón, Carlos Yanes Pérez. 2026-04-07. Asymptotic models for viscoelastic one-dimensional blood flow. https://arxiv.org/abs/2604.05679

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