Original scientific paper

https://doi.org/10.3336/gm.56.2.11

Regularity of a weak solution to a linear fluid-composite structure interaction problem

Marija Galić ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10 000 Zagreb, Croatia

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Abstract

In this manuscript, we deal with the regularity of a weak solution to the fluid-composite
structure interaction problem introduced in [12]. The problem describes
a linear fluid-structure interaction between an incompressible, viscous fluid flow, and an elastic
structure composed of a cylindrical shell supported by a mesh-like elastic structure.
The fluid and the mesh-supported structure are coupled via the kinematic and dynamic boundary
coupling conditions describing continuity of velocity and balance of contact forces at the fluid-structure interface.
In [12], it is shown that there exists a weak solution to the described problem.
By using the standard techniques from the analysis of partial differential equations
we prove that such a weak solution possesses an additional regularity in both time and space
variables for initial and boundary data satisfying the appropriate regularity and
compatibility conditions imposed on the interface.

Keywords

Fluid-structure interaction, parabolic-hyperbolic coupling, regularity theory

Hrčak ID:

267562

URI

https://hrcak.srce.hr/267562

Publication date:

23.12.2021.

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