Files in this item

FilesDescriptionFormat

application/pdf

application/pdf9236403.pdf (2MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:On Initial-Boundary Value Problems for the Nonlinear Schroedinger Equation and the Ginzburg-Landau Equation
Author(s):Bu, Qiyue
Doctoral Committee Chair(s):Carroll, R.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Applied Mechanics
Mathematics
Abstract:There are five chapters in this thesis. Well-posedness of the forced nonlinear Schrodinger equation (NLS) is shown in Chapter 1. The global solution to an initial-boundary value problem for the NLS is proved in Chapter 2. Global existence of the full-line problem for the Ginzburg-Landau equation (GL) is shown in Chapter 3. In Chapter 4, the following results concerning the half-line problem for the Ginzburg-Landau equation are established: (1) local existence-uniqueness; (2) small amplitude solution; (3) criteria for global existence. In Chapter 5, the weak solution to an initial-boundary value problem for the GL equation is obtained via Galerkin's method.
Issue Date:1992
Type:Text
Description:78 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1992.
URI:http://hdl.handle.net/2142/72530
Other Identifier(s):(UMI)AAI9236403
Date Available in IDEALS:2014-12-17
Date Deposited:1992


This item appears in the following Collection(s)

Item Statistics