On a fluid-structure interaction problem for plaque growth: cylindrical domain
نویسندگان
چکیده
This paper concerns a free-boundary fluid-structure interaction problem for plaque growth proposed by Yang et al. [J. Math. Biol., 72(4):973--996, 2016] with additional viscoelastic effects, which was also investigated the authors [arXiv preprint: 2110.00042, 2021]. Compared to it, is posed in cylindrical domain ninety-degree contact angles, brings difficulties when we deal linearization of system By reflection argument, obtain existence and uniqueness strong solutions model problems linear systems, are then shown be well-posed (annular) via localization procedure. Finally, prove that full nonlinear admits unique solution locally aid contraction mapping principle.
منابع مشابه
Embedding Domain Technique for a Fluid-Structure Interaction Problem
We present a weak formulation for a steady fluid-structure interaction problem using an embedding domain technique with penalization. Except of the penalizing term, the coefficients of the fluid problem are constant and independent of the deformation of the structure, which represents an advantage of this approach. A second advantage of this model is the fact that the continuity of the stress a...
متن کاملfluid-structure interaction in concrete cylindrical tanks under harmonic excitations
large capacity cylindrical tanks are used to store a variety of liquids. their satisfactoryperformance during earthquake is crucial for modern facilities. in present paper, the behavior of cylindricalconcrete tanks under harmonic excitation is studied using the finite element method. liquid sloshing, liquidviscosity and wall flexibility are considered and additionally excitation frequency, liqu...
متن کاملFluid-structure interaction studies on marine propeller
Composite propellers offer high damping characteristics and corrosion resistance when compared with metal propellers. But the design of a hybrid composite propeller with the same strength of metal propeller is the critical task. For this purpose, the present paper focusses on fluid-structure interaction analysis of hybrid composite propeller with Carbon/Epoxy, R-Glass/Epoxy and S2-Glass/Epoxy t...
متن کاملA Transmission Problem for Fluid-structure Interaction in the Exterior of a Thin Domain
1. Introduction. In this article, we study the interaction between a infinitely long cylinder coated with a sheath of an elastic material and a compressible, inviscid fluid, with lubricated contact on the interface. The problem is thus posed in
متن کاملA fictitious domain/mortar element method for fluid–structure interaction
A new method for the computational analysis of fluid–structure interaction of a Newtonian fluid with slender bodies is developed. It combines ideas of the fictitious domain and the mortar element method by imposing continuity of the velocity field along an interface by means of Lagrange multipliers. The key advantage of the method is that it circumvents the need for complicated mesh movement st...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2023
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.11.046