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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F09%3A00501776%21RIV10-MSM-23520___
rdf:type
skos:Concept n13:Vysledek
dcterms:description
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. 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.
dcterms:title
Diffusion and the self-measurability Diffusion and the self-measurability
skos:prefLabel
Diffusion and the self-measurability Diffusion and the self-measurability
skos:notation
RIV/49777513:23520/09:00501776!RIV10-MSM-23520___
n4:aktivita
n17:Z
n4:aktivity
Z(MSM4977751303)
n4:cisloPeriodika
1
n4:dodaniDat
n12:2010
n4:domaciTvurceVysledku
n5:9901752
n4:druhVysledku
n6:J
n4:duvernostUdaju
n14:S
n4:entitaPredkladatele
n7:predkladatel
n4:idSjednocenehoVysledku
310520
n4:idVysledku
RIV/49777513:23520/09:00501776
n4:jazykVysledku
n8:eng
n4:klicovaSlova
diffusion; spatial averaging; nonlocal thermomechanics
n4:klicoveSlovo
n9:spatial%20averaging n9:nonlocal%20thermomechanics n9:diffusion
n4:kodStatuVydavatele
CZ - Česká republika
n4:kontrolniKodProRIV
[4F707875476B]
n4:nazevZdroje
Applied and Computational Mechanics
n4:obor
n11:JJ
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:rokUplatneniVysledku
n12:2009
n4:svazekPeriodika
3
n4:tvurceVysledku
Holeček, Miroslav
n4:zamer
n18:MSM4977751303
s:issn
1802-680X
s:numberOfPages
12
n16:organizacniJednotka
23520