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On some projections of homogenised coefficients for stationary diffusion equation
Author(s) -
Antonić Nenad,
Vrdoljak Marko
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310491
Subject(s) - isotropy , mixing (physics) , diffusion , set (abstract data type) , mathematics , mathematical analysis , composite number , statistical physics , thermodynamics , physics , computer science , algorithm , optics , quantum mechanics , programming language
The set (θ) of all composite materials obtained by mixing two isotropic phases (with given local proportion θ of the .rst material), in a stationary di.usion problem, is considered. The question of describing two columns of these matrices, or more precisely the set {( Ae , Af ) : A ∈ (θ)}, for two vectors e and f , is addressed.