Naslov
A Generalization of the Lions-Aubin-Simon Compactness Lemma to Problems on Moving Domains

Autori
Muha, Boris

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
SIAM Conference on Analysis of Partial Differential Equations / - , 2017, 65-65

Skup
SIAM Conference on Analysis of Partial Differential Equations

Mjesto i datum
Baltimore (MD), Sjedinjene Američke Države, 09.12.2017. - 12.12.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Nije recenziran

Ključne riječi
Aubin-Lions-Simon lemma ; generalized Bochner spaces ; moving domains ; fluid-structure interaction

Sažetak
We are interested in studying compactness of sequences that approximate functions u(t, x) in Bochner spaces L2(0, T ; X(t)), where X(t) is a Hilbert space, which depends on time. Problems of this type arise, for example, in studying evolution problems modeled by partial differential equations defined on domains that depend on time. Examples include general moving-boundary problems, or more particularly, fluid flows in time-dependent fluid domains that may either be given a priori, or in fluid domains that are not known a priori but depend on the solution of a fluidstructure interaction problem. In the latter case the elastodynamics of a compliant (elastic, or viscoelastic) structure determines the fluid domain. Thus, the spatial domain depends on time through the unknowns of the problem, giving rise to a strong geometric nonlinearity. T

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA