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Existence and regularity for weak solutions for a fluid interacting with a non-linear shell in 3D (CROSBI ID 698759)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Muha, Boris Existence and regularity for weak solutions for a fluid interacting with a non-linear shell in 3D // Dynamics, Equations and Applications (DEA 2019). 2019. str. 33-33

Podaci o odgovornosti

Muha, Boris

engleski

Existence and regularity for weak solutions for a fluid interacting with a non-linear shell in 3D

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

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Podaci o prilogu

33-33.

2019.

objavljeno

Podaci o matičnoj publikaciji

Dynamics, Equations and Applications (DEA 2019)

Podaci o skupu

Dynamics, Equations and Applications (DEA 2019)

predavanje

16.09.2019-20.09.2019

Kraków, Poljska

Povezanost rada

Matematika