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Bibliographic Details
Main Author: Kim, Woojeong
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.15335
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Table of Contents:
  • 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.