Izvorni znanstveni članak

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

Preuzmi JATS datoteku

Sažetak

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.

Ključne riječi

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

Hrčak ID:

267562

URI

https://hrcak.srce.hr/267562

Datum izdavanja:

23.12.2021.

Posjeta: 698 *