Abstract/Details

Long-time behavior of solutions of a multi-dimensional electrophoretic model with a single reaction

Kim, Euhee. 
 University of Connecticut ProQuest Dissertations Publishing,  1995. 9535907.

Abstract (summary)

In this dissertation, an electrophoretic model consisting of three charged species is considered. A dissociation-association reaction is allowed to take place between these species. The ions diffuse owing to concentration gradients and migrate because of electric force.

We prove that the steady state solution to the equations that govern this model exists and is unique. Moreover, we show that any initial distribution of species concentrations will settle down to this unique steady state as time becomes large. We also develop an algorithm for finding the numerical approximation to the unsteady state solutions of the governing equations.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; concentration gradients; diffusion; ions
Title
Long-time behavior of solutions of a multi-dimensional electrophoretic model with a single reaction
Author
Kim, Euhee
Number of pages
49
Degree date
1995
School code
0056
Source
DAI-B 56/06, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
979-8-209-02433-0
University/institution
University of Connecticut
University location
United States -- Connecticut
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
9535907
ProQuest document ID
304181992
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/304181992/abstract