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  • 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. (en)
Title
  • Diffusion and the self-measurability
  • Diffusion and the self-measurability (en)
skos:prefLabel
  • Diffusion and the self-measurability
  • Diffusion and the self-measurability (en)
skos:notation
  • RIV/49777513:23520/09:00501776!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM4977751303)
http://linked.open...iv/cisloPeriodika
  • 1
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 310520
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/09:00501776
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • diffusion; spatial averaging; nonlocal thermomechanics (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [4F707875476B]
http://linked.open...i/riv/nazevZdroje
  • Applied and Computational Mechanics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 3
http://linked.open...iv/tvurceVysledku
  • Holeček, Miroslav
http://linked.open...n/vavai/riv/zamer
issn
  • 1802-680X
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
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