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On a stochastic wave equation modeli...

University of Virginia.

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On a stochastic wave equation modeling heat flow.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	On a stochastic wave equation modeling heat flow./
Author:	Wang, Yao.
Description:	63 p.
Notes:	Adviser: Thomas Lawrence.
Contained By:	Dissertation Abstracts International69-04B.
Subject:	Applied Mechanics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3312184
ISBN:	9780549600701

On a stochastic wave equation modeling heat flow.
Wang, Yao.

On a stochastic wave equation modeling heat flow. - 63 p.

Adviser: Thomas Lawrence.

Thesis (Ph.D.)--University of Virginia, 2008.

We consider a stochastic Klein-Gordon wave equation modeling heat flow between thermal reservoirs held at different temperatures. We discuss, in a perturbative context, the approach to a stationary, non-equilibrium state and show that the state is supported on field configurations which are in Hs, s < 1/2, and which are Holder continuous. We determine the heat flux to lowest order in perturbation theory.

ISBN: 9780549600701Subjects--Topical Terms:

1018410
Applied Mechanics.

On a stochastic wave equation modeling heat flow.
LDR:01652nam 2200301 a 45 001 856692
005 20100709
008 100709s2008 ||||||||||||||||| ||eng d
020 $a 9780549600701
035 $a (UMI)AAI3312184
035 $a AAI3312184
040 $a UMI $c UMI
100 1 $a Wang, Yao. $3 708634
245 1 0 $a On a stochastic wave equation modeling heat flow.
300 $a 63 p.
500 $a Adviser: Thomas Lawrence.
500 $a Source: Dissertation Abstracts International, Volume: 69-04, Section: B, page: 2366.
502 $a Thesis (Ph.D.)--University of Virginia, 2008.
520 $a We consider a stochastic Klein-Gordon wave equation modeling heat flow between thermal reservoirs held at different temperatures. We discuss, in a perturbative context, the approach to a stationary, non-equilibrium state and show that the state is supported on field configurations which are in Hs, s < 1/2, and which are Holder continuous. We determine the heat flux to lowest order in perturbation theory.
520 $a We also consider the problem of nonlinear bounded perturbations of the stochastic wave equations. For the perturbed equations, but with ultraviolet cutoffs, we show existence and uniqueness of their stationary states. The marginals of these states for any fixed, finite collection of Fourier components of the field are tight as the cutoff is removed.
590 $a School code: 0246.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Mathematics. $3 515831
650 4 $a Statistics. $3 517247
690 $a 0346
690 $a 0405
690 $a 0463
710 2 $a University of Virginia. $3 645578
773 0 $t Dissertation Abstracts International $g 69-04B.
790 $a 0246
790 1 0 $a Lawrence, Thomas, $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3312184