Naslov
Effective behaviour of a porous medium containing a thin fissure

Autori
Bourgeat, Alain ; Marušić-Paloka, Eduard ; Mikelić, Andro

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Calculus of Variations, Homogenization and Continuum Mechanics - Proceedings of the Workshop / Bouchitté , Guy ; Buttazzo, Giuseppe ; Suquet, Pierre - : World Scientific Publishing, 1994, 69-81

ISBN
978-981-283-313-6

Skup
Workshop on Calculus of Variations, Homogenization and Continuum Mechanics, Marseille

Mjesto i datum
Marseille, Francuska, 03.06.1993. - 10.06.1993

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Homogenization, porous medium, thin fissure

Sažetak
We consider the behaviour of the solution of Laplace’s equation for a porous medium containing a thin fissure, when both the characteristic size of the pores ε and the width of the fissure δ tend to zero. Depending on the relative sizes of δ and ε we find three possible limits: 1. when δ≪ε 2/3 the fissure is not giving any contribution ; 2. when δ∼ε 2/3 the fissure is generating a Dirac measure concentrated on the interface ; 3. when δ≫ε 2/3 the fissure contribution is dominant. Results are obtained using asymptotic expansions, boundary layer theory and weak convergence methods Effective behaviour of a porous medium containing a thin fissure (PDF Download Available). Available from: https://www.researchgate.net/publication/230813930_Effective_beha viour_of_a_porous_medium_containing_a_thin_fissure [accessed Oct 5, 2017].

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA