Search for dissertations about: "Parabolic partial differential equations"

Showing result 16 - 20 of 40 swedish dissertations containing the words Parabolic partial differential equations.

  2. 16. Numerical Analysis of Evolution Problems in Multiphysics

    Author : Anna Persson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; regularity; generalized finite element; localized orthogonal decomposition; multiscale; finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations; Regularity; generalized finite element; localized orthogonal decomposition; multiscale finite element method; Thermoelasticity; Riccati equations; thermistor; linear elasticity; Joule heating; parabolic equations;

    Abstract : In this thesis we study numerical methods for evolution problems in multiphysics. The term multiphysics is commonly used to describe physical phenomena that involve several interacting models. Typically, such problems result in coupled systems of partial differential equations. READ MORE

  4. 17. G-Convergence and Homogenization of some Sequences of Monotone Differential Operators

    Author : Liselott Flodén; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Björn Birnir; Mittuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; G-convergence; Homogenization; Multiscale convergence; Two-scale convergence; Monotone opertors; Functional analysis; Partial differential equations; Mathematical analysis; Analys;

    Abstract : This thesis mainly deals with questions concerning the convergence of some sequences of elliptic and parabolic linear and non-linear operators by means of G-convergence and homogenization. In particular, we study operators with oscillations in several spatial and temporal scales. READ MORE

  5. 18. On weak convergence, Malliavin calculus and Kolmogorov equations in infinite dimensions

    Author : Adam Andersson; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Stochastic evolution equations; stochastic Volterra equations; weak approximation; Kolmogorov equations in infinite dimensions; Malliavin calculus; finite element method; backward Euler method; Kolmogorov equations in infinite dimensions;

    Abstract : This thesis is focused around weak convergence analysis of approximations of stochastic evolution equations in Hilbert space. This is a class of problems, which is sufficiently challenging to motivate new theoretical developments in stochastic analysis. READ MORE

  6. 19. Analysis and Applications of Heterogeneous Multiscale Methods for Multiscale Partial Differential Equations

    Author : Doghonay Arjmand; Olof Runborg; Marcus Grote; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Numerical homogenization; long time wave propagation; multiscale PDEs; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Abstract : This thesis centers on the development and analysis of numerical multiscale methods for multiscale problems arising in steady heat conduction, heat transfer and wave propagation in heterogeneous media. In a multiscale problem several scales interact with each other to form a system which has variations over a wide range of scales. READ MORE

  7. 20. Asymptotic analysis of solutions to elliptic and parabolic problems

    Author : Peter Rand; Vladimir Kozlov; Mikael Langer; Vitali Liskevich; Linköpings universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Asymptotic behaviour; The Emden-Fowler equation; Parabolic system; Spectral splitting; Cylinder; Perturbation; MATHEMATICS; MATEMATIK;

    Abstract : In the thesis we consider two types of problems. In Paper 1, we studysmall solutions to a time-independent nonlinear elliptic partial differential equation of Emden-Fowler type in a semi-infnite cylinder. The asymptotic behaviour of these solutions at infnity is determined. First, the equation under the Neumann boundary condition is studied. READ MORE