Publication date: 31 December 2021
Volume: Vol 56
Issue: Svezak 2
Pages: 407-440
DOI: https://doi.org/10.3336/gm.56.2.11
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
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.
Fluid-structure interaction, parabolic-hyperbolic coupling, regularity theory
267562
23.12.2021.
Posjeta: 413 *