Diffusion and the self-measurability

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00501776" target="_blank" >RIV/49777513:23520/09:00501776 - isvavai.cz</a>
Výsledek na webu
—
DOI - Digital Object Identifier
—

Jazyk výsledku
angličtina
Název v původním jazyce
Diffusion and the self-measurability
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Diffusion and the self-measurability
Popis výsledku anglicky
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.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
JJ - Ostatní materiály
OECD FORD obor
—

Rok uplatnění
2009
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Podobné výsledky(10)