English

A numerical scheme for a multi-scale model of thrombus in arteries

Numerical Analysis 2025-02-19 v2 Numerical Analysis

Abstract

In this article, the time-discretization of the fluid structure interaction model in the three-dimensional boundary domain is taken into account, which explains the mechanical interaction between the blood flow and the Hookean elasticity. The interface between the two phases is given by a soft transition layer and spreads to the finite thickness. On the implicit Euler scheme for this discretization, We derive a variety of priori estimates and then use the Faedo-Galerkin method to prove the local well-poseedness results.

Keywords

Cite

@article{arxiv.2501.15335,
  title  = {A numerical scheme for a multi-scale model of thrombus in arteries},
  author = {Woojeong Kim},
  journal= {arXiv preprint arXiv:2501.15335},
  year   = {2025}
}

Comments

The co-author does not agree on this uploading. arXiv admin note: The author list has been redacted