Local well-posedness of a three-dimensional phase-field model for thrombus and blood flow
- Resource Type
- Working Paper
- Authors
- Kim, Woojeong; Tawri, Krutika; Temam, Roger
- Source
- Subject
- Mathematics - Analysis of PDEs
- Language
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.