Abels, Helmut and Liu, Yadong (2023) On a fluid-structure interaction problem for plaque growth: cylindrical domain. JOURNAL OF DIFFERENTIAL EQUATIONS, 345. pp. 334-400. ISSN 0022-0396, 1090-2732
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This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. (2016) [50] with additional viscoelastic effects, which was also investigated by the authors (2021) [1]. Compared to it, the problem is posed in a cylindrical domain with ninety-degree contact angles, which brings additional difficulties when we deal with the linearization of the system. By a reflection argument, we obtain the existence and uniqueness of strong solutions to the model problems for the linear systems, which are then shown to be well-posed in a cylindrical (annular) domain via a localization procedure. Finally, we prove that the full nonlinear system admits a unique strong solution locally with the aid of the contraction mapping principle.(c) 2022 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | NAVIER-STOKES EQUATIONS; LOCAL STRONG SOLUTIONS; DATA GLOBAL EXISTENCE; WELL-POSEDNESS; WEAK SOLUTIONS; VISCOUS-FLUID; UNSTEADY INTERACTION; 3D FLUID; STABILITY; EVOLUTION; Fluid -structure interaction; Two-phase flow; Growth; Free boundary problem; Maximal regularity; Contact; angle problem |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Jan 2024 13:36 |
| Last Modified: | 30 Jan 2024 13:36 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56597 |
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