Search for dissertations about: "Symmetry and differential equations"
Showing result 1 - 5 of 11 swedish dissertations containing the words Symmetry and differential equations.
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1. Strong Cosmic Censorship and Cosmic No-Hair in spacetimes with symmetries
Abstract : This thesis consists of three articles investigating the asymptotic behaviour of cosmological spacetimes with symmetries arising in Mathematical General Relativity.In Paper A and B, we consider spacetimes with Bianchi symmetry and where the matter model is that of a perfect fluid. READ MORE
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2. Topics in Nonlinear Elliptic Differential Equations
Abstract : In this thesis we examine the existence of solutions to nonlinear elliptic partial differential equations via variational methods.In Paper I we consider the existence of constrained minimizers which correspond to solutions of equations involving the iterated Laplacian, the iterated p-Laplacian and the critical Sobolev exponent. READ MORE
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3. Painlevé analysis and transformations for nonlinear partial differential equations
Abstract : Nonlinear partial differential equations play a fundamental role in the description of many physical models. In order to get a complete understanding of the phenomena which are modeled it is important to obtain exact analytic solutions. READ MORE
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4. Design of High Performance Computing Software for Genericity and Variability
Abstract : Computer simulations have emerged as a cost efficient complement to laboratory experiments, as computers have become increasingly powerful. The aim of the present work is to explore the ideas of some state of the art software development practices, and ways in which these can be useful for developing high performance research codes. READ MORE
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5. The construction, analysis and validation of mechanistic mathematical models of protein kinetics in the context of replicative ageing in budding yeast
Abstract : Mathematical modelling constitutes a forceful tool for elucidating properties of biological systems. Using theoretical approaches in combination with experimental techniques it is possible to study specific molecular aspects of phenomena such as the ageing of human beings. READ MORE