Search for dissertations about: "linear homogeneous equation"

Showing result 1 - 5 of 25 swedish dissertations containing the words linear homogeneous equation.

2. 1. The Finite Element Method for Fractional Order Viscoelasticity and the Stochastic Wave Equation

   Author : Fardin Saedpanah; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; finite element method; continuous Galerkin method; linear viscoelasticity; fractional calculus; fractional order viscoelasticity; weakly singular kernel; stability; a priori error estimate; a posteriori error estimate; stochastic wave equation; additive noise; Wiener process; strong convergence.; linear viscoelasticity;

   Abstract : This thesis can be considered as two parts. In the first part a hyperbolic type integro-differential equation with weakly singular kernel is considered, which is a model for dynamic fractional order viscoelasticity. In the second part, the finite element approximation of the linear stochastic wave equation is studied. READ MORE

4. 2. Some non-linear geometric and kinetic evolutions and their approximations

   Author : Richards Grzhibovskis; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; curvature flow; Willmore flow; convolution-thresholding; homothetic geometric flows; Boltzmann equation; deterministic methods; non-uniform grids; curvature flow;

   Abstract : This thesis deals with three non-linear evolution problems: mean curvature flow, Willmore flow, and the evolution of solutions to the space homogeneous Boltzmann equation. Generalized mean curvature flows are also considered. A major part of the study focuses on the construction of approximations to these evolutions. READ MORE

5. 3. Two Problems on Existence and Approximation Related to the Boltzmann Equation

   Author : Vladislav Panferov; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Boltzmann equation; Povzner type models; diffuse reflection; discrete-velocity models; existence for large data; weak compactness; consistency; convergence; diffuse reflection;

   Abstract : In this thesis, two different types of problems related to the Boltzmann equation of kinetic theory are studied. The first part is devoted to establishing consistency and convergence for discrete-velocity models of the Boltzmann equation. For a new such model, introduced by the author jointly with A. READ MORE

6. 4. Combinatorial Methods in Complex Analysis

   Author : Per Alexandersson; Boris Shapiro; Alexandre Eremenko; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; combinatorics; Schrödinger equation; Toeplitz matrix; sums of squares; Schur polynomials; Mathematics; matematik;

   Abstract : The theme of this thesis is combinatorics, complex analysis and algebraic geometry. The thesis consists of six articles divided into four parts.Part A: Spectral properties of the Schrödinger equationThis part consists of Papers I-II, where we study a univariate Schrödinger equation with a complex polynomial potential. READ MORE

7. 5. Strong L1 convergence to equilibrium without entropy conditions for the spatially homogenous Boltzmann equation

   Author : Fredrik Abrahamsson; Jönköping University; []
   Keywords : ;

   Abstract : This paper deals with solutions to the Cauchy problem for the spatially homogeneous non-linear Boltzmann equation. The main result is that for the hard sphere kernel, a solution to the Boltzmann equation converges strongly in L1 to equilibrium given that the initial data f0 belongs to L1(R^3;(1+v^2)dv). READ MORE