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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

On some singular perturbation problems.

January 1999 (has links)
Kong Yin To. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1999. / Includes bibliographical references (leaves 53-55). / Abstracts in English and Chinese. / Chapter 1 --- On the Role of Robin Function in Some Singular Per- turbation Problems with Zero Mass --- p.4 / Chapter 1.1 --- Introduction --- p.4 / Chapter 1.2 --- Preliminary Results and Set-up of a Min-Max Scheme --- p.9 / Chapter 1.3 --- Proof of Theorem 1.1 --- p.25 / Chapter 2 --- On a Singularly Perturbed Dirichlet Problem in Con- vex Domain --- p.29 / Chapter 2.1 --- Introduction --- p.29 / Chapter 2.2 --- Preliminary Analysis --- p.33 / Chapter 2.3 --- Location of Multiple Peaks --- p.37 / Chapter 2.4 --- Proof of No Multiple-Peaked Solutions in Convex Do- mains --- p.48
2

Clustered layer solutions for singularly perturbed problems with general non-autonomous nonlinearities.

January 2005 (has links)
Chiu Ho Man Edward. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2005. / Includes bibliographical references (leaves 36-39). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.4 / Chapter 2 --- Some Preliminary Analysis --- p.11 / Chapter 3 --- An Auxiliary Linear problem --- p.16 / Chapter 4 --- Construction of natural constraint --- p.22 / Chapter 5 --- Energy computation for reduced energy functional --- p.26 / Chapter 6 --- Proof of Theorem 1.1 --- p.29 / Bibliography --- p.36
3

Concentration phenomena for a singularly perturbed Neumann problem.

January 2010 (has links)
Ao, Weiwei. / "August 2010." / Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. / Includes bibliographical references (leaves 92-97). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgement --- p.v / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Spikes on Single Line-Segments --- p.12 / Chapter 2.1 --- Ansatz and sketch of the proof --- p.12 / Chapter 2.2 --- Linear theory --- p.15 / Chapter 2.3 --- The non linear projected problem --- p.20 / Chapter 2.4 --- Projection of the error and proof of Theorem 1.0.1 --- p.24 / Chapter 3 --- The triple junction solutions --- p.33 / Chapter 3.1 --- Approximate solutions --- p.33 / Chapter 3.2 --- linear and nonlinear projected problem --- p.35 / Chapter 3.3 --- Error estimates and the proof of theorem 1.0.2 --- p.35 / Chapter 4 --- Layer concentrations in three-dimensional domain --- p.45 / Chapter 4.1 --- Preliminaries and setting up the problem --- p.45 / Chapter 4.1.1 --- A linear model problem --- p.45 / Chapter 4.1.2 --- Setting up the problem in suitable coordinates --- p.53 / Chapter 4.2 --- The gluing procedure --- p.62 / Chapter 4.3 --- The invertibility of L2 --- p.65 / Chapter 4.4 --- Solving the nonlinear projected problem --- p.67 / Chapter 4.5 --- Estimates of the projection against ∇w and Z --- p.72 / Chapter 4.5.1 --- estimates for the projection of the error --- p.73 / Chapter 4.5.2 --- projection of terms involving φ --- p.78 / Chapter 4.5.3 --- projection of errors on the boundary --- p.80 / Chapter 4.6 --- "The system for (f1, f2, e):proof of the theorem" --- p.81
4

Algorithms for singular systems

Beauchamp, Gerson 05 1900 (has links)
No description available.
5

Fast half-loop maneuvers for the F/A-18 fighter aircraft using a singular pertubation feedback control law /

Garrett, Frederick Earl, January 1988 (has links)
Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1988. / Vita. Abstract. Includes bibliographical references (leaves 154-155). Also available via the Internet.
6

Nonlinear oscillation and control in the BZ chemical reaction.

Li, Yongfeng. January 2008 (has links)
Thesis (Ph.D)--Mathematics, Georgia Institute of Technology, 2009. / Committee Chair: Yi, Yingfei; Committee Member: Chow, Shui-Nee; Committee Member: Dieci, Luca; Committee Member: Verriest, Erik; Committee Member: Weiss, Howie. Part of the SMARTech Electronic Thesis and Dissertation Collection.
7

Mathematical Analysis of Film Blowing

Bennett, James Cameron, james.bennett@student.rmit.edu.au January 2008 (has links)
Film blowing is a highly complex industrial process used to manufacture thin plastic films for uses in a wide range of applications; for example, plastic bags. The mathematical modelling of this process involves the analysis of highly nonlinear differential equations describing the complex phenomena arising in the film blowing process, and requires a sophisticated mathematical approach. This dissertation applies an innovative combination of tools, namely analytic, numerical and heuristic mathematical techniques to the analysis of the film blowing process. The research undertaken examines, in particular, a two-point boundary value problem arising from the modelling of the radial profile of the polymer film. For even the simplest modelling of this process, namely the isothermal Newtonian model, the resulting differential equation is a highly nonlinear, second order one, with an extra degree of difficulty due to the presence of a small parameter multiplying the highest derivative. Thus, the problem falls into the category of a nonlinear singular perturbation problem. Analytic techniques are applied to the isothermal Newtonian blown film model to obtain a closed form explicit approximation to the film bubble radius. This is then used as a base approximation for an iterative numerical scheme to obtain an improved numerical solution of the problem. The process is extended to include temperature variations, varying viscosity (Power law model) and viscoelastic effects (Maxwell model). As before, closed form approximations are constructed for these models which are used to launch numerical schemes, whose solutions display good accuracy. The results compare well with results obtained by purely numerical solutions in the literature.
8

Boundary regularity for free boundary problems /

Gurevich, Alex. January 1997 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 1997. / Includes bibliographical references. Also available on the Internet.
9

A perturbation solution for forced response of systems displaying eigenvalue veering and mode localization

Pham, Hoang 08 1900 (has links)
No description available.
10

Optimal vertical plane booster guidance including pitch dynamics /

Waldron, William Michael, January 1996 (has links)
Thesis (Ph. D.)--Virginia Polytechnic Institute and State University, 1996. / Vita. Abstract. Includes bibliographical references (leaves 90-92). Also available via the Internet.

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