# 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…

## One Citation

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

- Mathematics
- 2021

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…

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