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Brownian motion of a particle immers...

The Ohio State University.

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Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent./
Author:	Xiong, Wei.
Description:	114 p.
Notes:	Adviser: Peter March.
Contained By:	Dissertation Abstracts International69-08B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3326239
ISBN:	9780549772255

Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent.
Xiong, Wei.

Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent. - 114 p.

Adviser: Peter March.

Thesis (Ph.D.)--The Ohio State University, 2008.

My current work concerns the hydrodynamics of particles immersed in a thermally fluctuating, viscous, incompressible solvent. The governing equations stipulate conservation of momentum in the fluid, conservation of linear and angular momentum of the particle, and no-slip boundary conditions on the boundary of the particle. Is there existence and uniqueness for the solution? What are the limit theorems when time goes to infinity? These problems not only provide more detailed study of physical Brownian motions but also give a testing ground for the techniques in stochastic partial differential equations.

ISBN: 9780549772255Subjects--Topical Terms:

515831
Mathematics.

Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent.
LDR:02075nam 2200289 a 45 001 858665
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008 100713s2008 ||||||||||||||||| ||eng d
020 $a 9780549772255
035 $a (UMI)AAI3326239
035 $a AAI3326239
040 $a UMI $c UMI
100 1 $a Xiong, Wei. $3 1025783
245 1 0 $a Brownian motion of a particle immersed in a viscous, incompressible, thermally fluctuating solvent.
300 $a 114 p.
500 $a Adviser: Peter March.
500 $a Source: Dissertation Abstracts International, Volume: 69-08, Section: B, page: 4796.
502 $a Thesis (Ph.D.)--The Ohio State University, 2008.
520 $a My current work concerns the hydrodynamics of particles immersed in a thermally fluctuating, viscous, incompressible solvent. The governing equations stipulate conservation of momentum in the fluid, conservation of linear and angular momentum of the particle, and no-slip boundary conditions on the boundary of the particle. Is there existence and uniqueness for the solution? What are the limit theorems when time goes to infinity? These problems not only provide more detailed study of physical Brownian motions but also give a testing ground for the techniques in stochastic partial differential equations.
520 $a This thesis is a first step to answer these questions. We analyze parts of the system: stochastic Stokes equations in the whole space, passive point particle, passive particle with finite size. We characterize the regularity properties and statistical behaviors of the solution u( t, x) and p(t, x) to the stochastic Stokes equations in the whole space. We give existence and uniqueness results for passive particles (a point particles as well as a finite size particle), and we give limit theorems for a point particle when the time goes to infinity.
590 $a School code: 0168.
650 4 $a Mathematics. $3 515831
650 4 $a Physics, Fluid and Plasma. $3 1018402
690 $a 0405
690 $a 0759
710 2 $a The Ohio State University. $3 718944
773 0 $t Dissertation Abstracts International $g 69-08B.
790 $a 0168
790 1 0 $a March, Peter, $e advisor
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3326239