engleski

Effective behaviour of a porous medium containing a thin fissure

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].

Homogenization, porous medium, thin fissure

nije evidentirano