On a fluid-structure interaction problem for plaque growth
Abstract
We study a free-boundary fluid-structure interaction problem with growth, which arises from the plaque formation in blood vessels. The fluid is described by the incompressible Navier-Stokes equations, while the structure is considered as a viscoelastic incompressible neo-Hookean material. Moreover, the growth due to the biochemical process is taken into account. Applying the maximal regularity theory to a linearization of the equations, along with a deformation mapping, we prove the well-posedness of the full nonlinear problem via the contraction mapping principle.
- Publication:
-
Nonlinearity
- Pub Date:
- January 2023
- DOI:
- 10.1088/1361-6544/aca5e1
- arXiv:
- arXiv:2110.00042
- Bibcode:
- 2023Nonli..36..537A
- Keywords:
-
- fluid-structure interaction;
- two-phase flow;
- growth;
- free boundary value problem;
- maximal regularity;
- Primary: 35R35; Secondary: 35Q30;
- 74F10;
- 74L15;
- 76T99;
- Mathematics - Analysis of PDEs;
- 35R35;
- 35Q30;
- 74F10;
- 74L15;
- 76T99
- E-Print:
- 45 pages