Naslov
Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics

Autori
Marušić, Sanja ; Marušić-Paloka, Eduard

Izvornik
Asymptotic analysis (0921-7134) 23 (2000), 1; 23-58

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
two-scale convergence ; thin domains ; lower-dimensional approximation ; asymptotic analysis

Sažetak
Inspird by similar ideas from the homogenization theory, it this paper we introduce the notion of two-scale convergence for thin domains that allow lower-dimensional approximation. We prove the compactness theorems, analogous to the one in homogenization theory. Using those results we derive lower-dimensional approximations in case of potential flow in thin pipe, the degenerated Reynolds equation for thin domain with sharp edge, and 1D approximation for power-law flow in thin pipe.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA