. "Z(MSM4977751303)" . . . "RIV/49777513:23520/09:00501776!RIV10-MSM-23520___" . . . "[4F707875476B]" . "310520" . . "Diffusion and the self-measurability" . . . . . . "12"^^ . "3" . "1" . "Diffusion and the self-measurability" . "23520" . "1"^^ . . . "1802-680X" . "The familiar diffusion equation 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? and show that it is equivalent to the self-measurability condition. It allows formulating the diffusion inequality in a non-local form. That represents an essential generalization of the diffusion problem in the case when the field is not smooth. We derive a general differential equation for averaged quantities coming from the self-measurability condition." . . "Diffusion and the self-measurability"@en . "The familiar diffusion equation 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? and show that it is equivalent to the self-measurability condition. It allows formulating the diffusion inequality in a non-local form. That represents an essential generalization of the diffusion problem in the case when the field is not smooth. We derive a general differential equation for averaged quantities coming from the self-measurability condition."@en . . "diffusion; spatial averaging; nonlocal thermomechanics"@en . "Hole\u010Dek, Miroslav" . "Diffusion and the self-measurability"@en . "1"^^ . "CZ - \u010Cesk\u00E1 republika" . "Applied and Computational Mechanics" . "RIV/49777513:23520/09:00501776" .