Abels, Helmut and Liu, Yadong (2023) On a fluid-structure interaction problem for plaque growth. NONLINEARITY, 36 (1). pp. 537-583. ISSN 0951-7715, 1361-6544
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NAVIER-STOKES EQUATIONS; LOCAL STRONG SOLUTIONS; DATA GLOBAL EXISTENCE; WELL-POSEDNESS; SOBOLEV; SIMULATION; UNIQUENESS; EVOLUTION; SYSTEM; BESOV; fluid-structure interaction; two-phase flow; growth; free boundary value problem; maximal regularity; Primary; Secondary |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 22 Feb 2024 08:51 |
| Last Modified: | 22 Feb 2024 08:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/59033 |
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