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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.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	On a stochastic wave equation modeling heat flow./
作者:	Wang, Yao.
面頁冊數:	63 p.
附註:	Adviser: Thomas Lawrence.
Contained By:	Dissertation Abstracts International69-04B.
標題:	Applied Mechanics. -
電子資源:	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.
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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.
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650 4 $a Mathematics. $3 515831
650 4 $a Statistics. $3 517247
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710 2 $a University of Virginia. $3 645578
773 0 $t Dissertation Abstracts International $g 69-04B.
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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