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Homogenization problems in random media.

Kontogiannis, Dimitrios.

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Homogenization problems in random media.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Homogenization problems in random media./
Author:	Kontogiannis, Dimitrios.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2010,
Description:	60 p.
Notes:	Source: Dissertations Abstracts International, Volume: 72-03, Section: B.
Contained By:	Dissertations Abstracts International72-03B.
Subject:	Mathematics. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3418234
ISBN:	9781124163123

Homogenization problems in random media.
Kontogiannis, Dimitrios.

Homogenization problems in random media. - Ann Arbor : ProQuest Dissertations & Theses, 2010 - 60 p.

Source: Dissertations Abstracts International, Volume: 72-03, Section: B.

Thesis (Ph.D.)--Iowa State University, 2010.

This item must not be added to any third party search indexes.

In this paper we study homogenization problems of partial differential equations in random domains. We give an overview of the classical techniques that are used to obtain homogenized equations over simple microstructures (for instance, periodic or almost periodic structures) and we show how we can obtain averaging equations over some particular random configurations. As it will be seen, such methods require ergodic theory, percolation, stochastic processes, in addition to the compactness of solutions and the convergence process. The structures considered can be used in microvascular modelling, sea ice pancake regions etc.

ISBN: 9781124163123Subjects--Topical Terms:

515831
Mathematics.
Subjects--Index Terms:

Differential equations

Homogenization problems in random media.
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020 $a 9781124163123
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100 1 $a Kontogiannis, Dimitrios. $3 3562965
245 1 0 $a Homogenization problems in random media.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2010
300 $a 60 p.
500 $a Source: Dissertations Abstracts International, Volume: 72-03, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Lieberman, Gary M.;Sethuraman, Sunder.
502 $a Thesis (Ph.D.)--Iowa State University, 2010.
506 $a This item must not be added to any third party search indexes.
506 $a This item must not be sold to any third party vendors.
520 $a In this paper we study homogenization problems of partial differential equations in random domains. We give an overview of the classical techniques that are used to obtain homogenized equations over simple microstructures (for instance, periodic or almost periodic structures) and we show how we can obtain averaging equations over some particular random configurations. As it will be seen, such methods require ergodic theory, percolation, stochastic processes, in addition to the compactness of solutions and the convergence process. The structures considered can be used in microvascular modelling, sea ice pancake regions etc.
590 $a School code: 0097.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical Mathematics. $3 1672766
653 $a Differential equations
653 $a Homogenization
653 $a Random domains
653 $a Random media
690 $a 0405
690 $a 0642
710 2 $a Iowa State University. $b Mathematics. $3 1266625
773 0 $t Dissertations Abstracts International $g 72-03B.
790 $a 0097
791 $a Ph.D.
792 $a 2010
793 $a English
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3418234