Search for dissertations about: "Symmetry and differential equations"

Showing result 1 - 5 of 11 swedish dissertations containing the words Symmetry and differential equations.

  2. 1. Strong Cosmic Censorship and Cosmic No-Hair in spacetimes with symmetries

    Author : Katharina Maria Radermacher; Hans Ringström; James Isenberg; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Cosmic Censorship; Cosmic No-Hair; Big Bang; symmetry; Bianchi; T2-symmetry; Gowdy; general relativity; cosmology; late time; initial time; asymptotic behaviour; perfect fluid; scalar field; Einstein equations; Mathematics; Matematik;

    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

  4. 2. Topics in Nonlinear Elliptic Differential Equations

    Author : Shoyeb Waliullah; Andrzej Szulkin; Thomas Bartsch; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Concentration-compactness principle; critical Sobolev exponent; symmetric solutions of elliptic equations; degenerate elliptic equation; Nehari manifold; Caffarelli-Kohn-Nirenberg inequality; infinitely many solutions; MATHEMATICS; MATEMATIK; Mathematics; matematik;

    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

  5. 3. Painlevé analysis and transformations for nonlinear partial differential equations

    Author : Ove Lindblom; Luleå tekniska universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    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

  6. 4. Design of High Performance Computing Software for Genericity and Variability

    Author : Malin Ljungberg; Michael Thuné; Kurt Otto; Hans Petter Langtangen; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; PDE solver; high-performance; coordinate invariant; curvilinear coordinates; symmetry exploiting; generalized Fourier transform; finite difference; expression templates; feature modeling; variability; Beräkningsvetenskap; Scientific Computing;

    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

  7. 5. The construction, analysis and validation of mechanistic mathematical models of protein kinetics in the context of replicative ageing in budding yeast

    Author : Johannes Borgqvist; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Protein kinetics; Replicative ageing; Cdc42; Ordinary differential equations; Reaction diffusion models; Parameter estimation; Model validation; Model construction; Symmetry methods;

    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