Abels, Helmut and Liu, Yadong (2023) Short-time existence of a quasi-stationary fluid-structure interaction problem for plaque growth. ADVANCES IN NONLINEAR ANALYSIS, 12 (1): 20230101. ISSN 2191-9496, 2191-950X
Full text not available from this repository. (Request a copy)Abstract
We address a quasi-stationary fluid-structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the incompressible Navier-Stokes equation, while the motion of vessels is captured by a quasi-stationary equation of nonlinear elasticity. The growth happens when both cells in fluid and solid react, diffuse and transport across the interface, resulting in the accumulation of foam cells, which are exactly seen as the plaques. Via a fixed-point argument, we derive the local well-posedness of the nonlinear system, which is sustained by the analysis of decoupled linear systems.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NAVIER-STOKES EQUATIONS; LOCAL STRONG SOLUTIONS; WEAK SOLUTIONS; UNSTEADY INTERACTION; VISCOUS-FLUID; EVOLUTION; SOBOLEV; SPACES; fluid-structure interaction; hyperelasticity; quasi-stationary; growth; free boundary problem; maximal regularity |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Feb 2024 07:57 |
| Last Modified: | 22 Feb 2024 07:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59023 |
Actions (login required)
 |
View Item |
