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osu1144750673.pdf (314.99 KB)
ETD Abstract Container
Abstract Header
The rouse models in the upper half space
Author Info
Lee, Seung Youn
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1144750673
Abstract Details
Year and Degree
2006, Doctor of Philosophy, Ohio State University, Mathematics.
Abstract
The Rouse models are designed to understand the dynamics of a polymer in a dilute solvent. The discrete model is described by a stochastic differential equation while the continuum one is by a stochastic heat equation. When a polymer resides in a polymeric liquid, its motion undergoes obstruction from neighboring polymers. The neighboring polymers build a region where the polymer is able to move. And the polymer makes a reptile-like move. We propose polymer models in a polymeric liquid based on the Rouse models, called by the reflected Rouse models. The dynamics of the reflected Rouse models are described by stochastic equations. We investigate the reflected continuum Rouse model in the upper-half space ℝ
3
+
the dynamics of which is described by a reflected stochastic partial differential equation and prove the existence and uniqueness problems of the reflected stochastic differential equation. And we discuss the curves in ℝ
3
driven by a random curvature and a random torsion and the physical Brownian motion in ℝ.
Committee
Peter March (Advisor)
Subject Headings
Mathematics
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Citations
Lee, S. Y. (2006).
The rouse models in the upper half space
[Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1144750673
APA Style (7th edition)
Lee, Seung.
The rouse models in the upper half space.
2006. Ohio State University, Doctoral dissertation.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1144750673.
MLA Style (8th edition)
Lee, Seung. "The rouse models in the upper half space." Doctoral dissertation, Ohio State University, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=osu1144750673
Chicago Manual of Style (17th edition)
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Document number:
osu1144750673
Download Count:
625
Copyright Info
© 2006, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.