Pregled bibliografske jedinice broj: 1104314
Existence and regularity for the non-linear Koiter shell interacting with the 3d incompressible fluid
Existence and regularity for the non-linear Koiter shell interacting with the 3d incompressible fluid // Equadiff 2019
Liblice, Češka Republika, 2019. (predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 1104314 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Existence and regularity for the non-linear Koiter
shell interacting with the 3d incompressible fluid
Autori
Muha, Boris
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Equadiff 2019
Mjesto i datum
Liblice, Češka Republika, 08.07.2019. - 12.07.2019
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Fluid-structure interaction ; weak solution ; Koiter shell
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2018-01-3706 - Analiza problema interakcije fluida i strukture i primjene (FSIApp) (Muha, Boris, HRZZ - 2018-01) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Boris Muha
(autor)
