• Corpus ID: 238253297

On a fluid-structure interaction problem for plaque growth

@inproceedings{Abels2021OnAF,
  title={On a fluid-structure interaction problem for plaque growth},
  author={Helmut Abels and Yadong Liu},
  year={2021}
}
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 equation, 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… 
View PDF on arXiv
1 Citations
Background Citations
1
Methods Citations
1
Results Citations
1

Figures from this paper

One Citation

Citation Type

Citation Type

On a fluid-structure interaction problem for plaque growth: cylindrical domain
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…

References

SHOWING 1-10 OF 43 REFERENCES
Well-posedness for the coupling between a viscous incompressible fluid and an elastic structure
In this paper, we consider a system modeling the interaction between a viscous incompressible fluid and an elastic structure. The fluid motion is represented by the classical Navier-Stokes equations…
SOLUTIONS TO A FLUID-STRUCTURE INTERACTION FREE BOUNDARY PROBLEM
Our main result is the existence of solutions to the free boundary fluid-structure interaction system. The system consists of a Navier-Stokes equation and a wave equation defined in two different …
Existence of Global Strong Solutions to a Beam–Fluid Interaction System
We study an unsteady nonlinear fluid–structure interaction problem which is a simplified model to describe blood flow through viscoelastic arteries. We consider a Newtonian incompressible…
Navier-Stokes Equations Interacting with a Nonlinear Elastic Biofluid Shell
TLDR
This work studies a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic fluid shell and proves the existence and uniqueness of solutions in Sobolev spaces for a short time.
Small data global existence for a fluid-structure model
We address the system of partial differential equations modeling motion of an elastic body inside an incompressible fluid. The fluid is modeled by the incompressible Navier–Stokes equations while the…
The Interaction of the 3D Navier-Stokes Equations with a Moving Nonlinear Koiter Elastic Shell
TLDR
This work studies a moving boundary value problem consisting of a viscous incompressible fluid moving and interacting with a nonlinear elastic solid shell and proves existence and uniqueness of solutions in Sobolev spaces.
A fluid–structure model coupling the Navier–Stokes equations and the Lamé system
Regular solutions of a problem coupling a compressible fluid and an elastic structure
Local Existence of Strong Solutions of a Fluid–Structure Interaction Model
We are interested in studying a system coupling the compressible Navier–Stokes equations with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain is…
Maximal-in-Time Existence and Uniqueness of Strong Solution of a 3D Fluid-Structure Interaction Model
TLDR
This work proves the existence of a unique maximal strong solution of the Navier-Stokes equations in a cylindrical type domain with an elastic structure, governed by a damped shell equation, located at the lateral boundary of the domain occupied by the fluid.
...
1
2
3
4
5
...