Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow

In this article we consider a fluid-structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus with Hookean elasticity. The interface between the two phases is given by a smooth transition layer, diffuse with a fini...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Kim, Woojeong, Tawri, Krutika, Temam, Roger
Format: Article
Language:English
Subjects:
Blood clots
Blood flow
Fluid-structure interaction
Galerkin method
Three dimensional models
Transition layers
Well posed problems
Online Access:Get full text
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Summary:In this article we consider a fluid-structure interactions model on a three dimensional bounded domain, that describes the mechanical interaction between blood flow and a thrombus with Hookean elasticity. The interface between the two phases is given by a smooth transition layer, diffuse with a finite thickness. We derive various a priori estimates and prove local well-posedness results using the Faedo-Galerkin method.
ISSN:2331-8422