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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 the Cauchy problem for a KdV-type equation on the circle

Gorsky, Jennifer. January 2004 (has links)
Thesis (Ph. D.)--University of Notre Dame, 2004. / Thesis directed by Alex Himonas for the Department of Mathematics. "April 2004." Includes bibliographical references (leaves 118-120).
2

Developments obtained by Cauchy's theorem with applications to the elliptic functions,

Manning, Henry Parker, January 1891 (has links)
Thesis (Ph. D.)--Johns Hopkins University, 1891. / Autobiography. "The basis of this paper is an 'Extrait d'une lettre de M. Gomes Teixeira à M. Hermite, ' published in the Bulletin des sciences mathématiques for Sept. 1890."
3

Developments obtained by Cauchy's theorem with applications to the elliptic functions,

Manning, Henry Parker, January 1891 (has links)
Thesis (Ph. D.)--Johns Hopkins University, 1891. / Autobiography. "The basis of this paper is an 'Extrait d'une lettre de M. Gomes Teixeira à M. Hermite, ' published in the Bulletin des sciences mathématiques for Sept. 1890."
4

Problèmes de propagation hyperboliques singuliers

Alinhac, Serge. January 1900 (has links)
Thesis--Paris XI. / Includes bibliographical references.
5

Numerical solutions of Cauchy integral equations and applications

Cuminato, José Alberto January 1987 (has links)
This thesis investigates the polynomial collocation method for the numerical solution of Cauchy type integral equations and the use of those equations and the related numerical techniques to solve two practical problem in Acoustics and Aerodynamics. Chapters I and II include the basic background material required for the development of the main body of the thesis. Chapter I discusses a number of practical problems which can be modelled as a singular integral equations. In Chapter II the theory of those equations is given in great detail. In Chapter III the polynomial collocation method for singular integral equations with constant coefficients is presented. A particular set of collocation points, namely the zeros of the first kind Chebyshev polynomials, is shown to give uniform convergence of the numerical approximation for the cases of the index K = 0. 1. The convergence rate for this method is also given. All these results were obtained under slightly stronger assumptions than the minimum required for the existence of an exact solution. Chapter IV contains a generalization of the results in Chapter III to the case of variable coefficients. In Chapter V an example of a practical problem which results in a singular integral equation and which is successfully solved by the collocation method is described in substantial detail. This problem consists of the interaction of a sound wave with an elastic plate freely suspended in a fluid. It can be modelled by a system of two coupled boundary value problems - the Helmholtz equation and the beam equation. The collocation method is then compared with asymptotic results and a quadrature method due to Miller. In Chapter VI an efficient numerical method is developed for solving problems with discontinuous right-hand sides. Numerical comparison with other methods and possible extensions are also discussed.
6

Glimm type functional and one dimensional systems of hyperbolic conservation laws /

Hua, Jiale. January 2009 (has links) (PDF)
Thesis (Ph.D.)--City University of Hong Kong, 2009. / "Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves 88-95)
7

The Boltzmann equation : sharp Povzner inequalities applied to regularity theory and Kaniel & Shinbrot techniques applied to inelastic existence

Alonso, Ricardo Jose, 1972- 31 August 2012 (has links)
This work consists of three chapters. In the first chapter, a brief overview is made on the history of the modern kinetic theory of elastic and dilute gases since the early stages of Maxwell and Boltzmann. In addition, I short exposition on the complexities of the theory of granular media is presented. This chapter has the objectives of contextualize the problems that will be studied in the remainder of the document and, somehow, to exhibit the mathematical complications that may arise in the inelastic gases (not present in the elastic theory of gases). The rest of the work presents two self-contained chapters on different topics in the study of the Boltzmann equation. Chapter 2 focuses in studying and extending the propagation of regularity properties of solutions for the elastic and homogeneous Boltzmann equation following the techniques introduced by A. Bobylev in 1997 and Bobylev, Gamba and Panferov in 2002. Meanwhile, chapter 3 studies the existence and uniqueness of the inelastic and inhomogeneous Cauchy problem of the Boltzmann equation for small initial data. A new set of global in time estimates, proved for the gain part of the inelastic collision operator, are used to implement the scheme introduced by Kaniel and Shinbrot in the late 70’s. This scheme, known as Kaniel and Shinbrot iteration, produces a rather simple and beautiful proof of existence and uniqueness of global solutions for the Boltzmann equation with small initial data. / text
8

Semigroup methods for degenerate cauchy problems and stochastic evolution equations / Isna Maizurna

Maizurna, Isna January 1999 (has links)
Bibliography: leaves 110-115. / iv, 115 leaves ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 1999
9

Semigroup methods for degenerate cauchy problems and stochastic evolution equations /

Maizurna, Isna. January 1999 (has links) (PDF)
Thesis (Ph.D.) -- University of Adelaide, Dept. of Pure Mathematics, 1999. / Bibliography: leaves 110-115.
10

The Boltzmann equation sharp Povzner inequalities applied to regularity theory and Kaniel & Shinbrot techniques applied to inelastic existence /

Alonso, Ricardo Jose, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2008. / Vita. Includes bibliographical references and index.

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