Key result
Unidirectional asymptotic model for 1D viscoelastic arterial blood flow establishes local well-posedness and global existence.
The study provides a mathematical foundation and numerical validation for a unidirectional asymptotic model of blood flow in viscoelastic arteries.
Remains theoretical for viscoelastic arterial flow; leaves open clinical relevance pending empirical validation in cardiovascular research.
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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Alonso-Orán et al. (2026) studied blood flow in viscoelastic arteries. unidirectional asymptotic model was evaluated. A unidirectional asymptotic model for one-dimensional blood flow in viscoelastic arteries was derived, establishing local well-posedness and global existence in the purely elastic BBM regime.
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