Diffusion and the self-measurability

The familiar diffusion equation, ∂g/∂t = DΔg, is studied by using the spatially averaged quantities. A non-local relation, so-called the self-measurability condition, fulfilled by this equation is obtained. We define a broad class of diffusion equations defined by some "diffusion inequality&quo...

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Bibliographic Details
Main Author: Holeček M.
Format: Article
Language:English
Published: University of West Bohemia 2009-06-01
Series:Applied and Computational Mechanics
Subjects:
Online Access:http://www.kme.zcu.cz/acm/old_acm/full_papers/acm_vol3no1_p05.pdf