engleski

Existence and regularity for the non-linear Koiter shell interacting with the 3d incompressible fluid

We study the unsteady Navier Stokes equations in three dimensions interacting with a non-linear flexible shell of Koiter Type. The latter one constitutes a moving part of the boundary of the physical domain of the fluid. This leads to a coupled system of non-linear PDEs with the moving boundary. We study weak solution to the corresponding fluid-structure interaction (FSI) problem. We introduce new methods that allow to prove higher regularity estimates for the shell. Due to the improved regularity estimates it is then possible to extend the known existence theory of weak solutions to the FSI problem with non- linear Koiter shell. The regularity result holds for arbitrary weak solution under certain geometric condition on the deformation of the boundary.

Fluid-structure interaction ; weak solution ; Koiter shell

nije evidentirano