Pregled bibliografske jedinice broj: 1104297
A generalization of Aubin-Lions-Simon theorem for moving domains
A generalization of Aubin-Lions-Simon theorem for moving domains // Equadiff 2017
Bratislava, Slovačka, 2017. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
CROSBI ID: 1104297 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
A generalization of Aubin-Lions-Simon theorem for
moving domains
Autori
Muha, Boris
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Equadiff 2017
Mjesto i datum
Bratislava, Slovačka, 24.07.2017. - 28.07.2017
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
Aubin-Lions-Aubin lemma ; generalized Bochner spaces ; moving domains ; fluid-structure interaction
Sažetak
We prove a compactness criteria for generalized Bochner spaces of type L2(0 ; T ; H(t)), where H(t) are Hilbert spaces, t 2 [0 ; T]. We consider a family of piece-wise constant functions in the t variable. Such functions usually appear as solutions to initial-boundary value PDE problems with discretized time derivatives (Rothe's method). This theorem is especially useful for moving boundary problems. We illustrate the theorem by applying it to some concrete examples that are motivated by applications: the Navier-Stokes equations in non-cylindrical domain, a nonlinear uid-elastic shell interaction problem with the slip and no-slip kinematic coupling conditions.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-UIP-2013-11-9477 - MAtematička analiza multifizikalnih problema koji uključuju tanke i kompozitne strukture i fluide (MAMPITCoStruFl) (Velčić, Igor, HRZZ ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Boris Muha
(autor)
