Sökning: "homogenization of partial differential equations"

Visar resultat 1 - 5 av 20 avhandlingar innehållade orden homogenization of partial differential equations.

1. 1. Homogenization of some scales of partial differential equations

   Författare :Nils Svanstedt; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Sammanfattning : .... LÄS MER

3. 2. G-Convergence and Homogenization of some Sequences of Monotone Differential Operators

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

   Sammanfattning : 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. LÄS MER

4. 3. Homogenization of Some Selected Elliptic and Parabolic Problems Employing Suitable Generalized Modes of Two-Scale Convergence

   Författare :Jens Persson; Anders Holmbom; Liselott Flodén; Marianne Lindberg; Mårten Gulliksson; Peter Wall; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; H-convergence; G-convergence; homogenization; multiscale analysis; two-scale convergence; multiscale convergence; elliptic partial differential equations; parabolic partial differential equations; monotone operators; heterogeneous media; non-periodic media; Mathematical analysis; Analys;

   Sammanfattning : The present thesis is devoted to the homogenization of certain elliptic and parabolic partial differential equations by means of appropriate generalizations of the notion of two-scale convergence. Since homogenization is defined in terms of H-convergence, we desire to find the H-limits of sequences of periodic monotone parabolic operators with two spatial scales and an arbitrary number of temporal scales and the H-limits of sequences of two-dimensional possibly non-periodic linear elliptic operators by utilizing the theories for evolution-multiscale convergence and λ-scale convergence, respectively, which are generalizations of the classical two-scale convergence mode and custom-made to treat homogenization problems of the prescribed kinds. LÄS MER

5. 4. Homogenization of Partial Differential Equations using Multiscale Convergence Methods

   Författare :Pernilla Johnsen; Liselott Flodén; Anders Holmbom; Marianne Olsson Lindberg; Jens Persson; Niklas Wellander; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization theory; two-scale convergence; multiscale convergence; very weak multiscale convergence; evolution multiscale convergence; very weak evolution multiscale convergence; linear parabolic problems; linear hyperbolic-parabolic problems;

   Sammanfattning : The focus of this thesis is the theory of periodic homogenization of partial differential equations and some applicable concepts of convergence. More precisely, we study parabolic problems exhibiting both spatial and temporal microscopic oscillations and a vanishing volumetric heat capacity type of coefficient. LÄS MER

7. 5. Homogenization of some problems in hydrodynamic lubrication involving rough boundaries

   Författare :John Fabricius; Guy Bayada; Luleå tekniska universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; partial differential equations; calculus of variations; homogenization theory; tribology; hydrodynamic lubrication; thin film flows; Reynolds equation; surface roughness; Weyl decomposition; Matematik; Mathematics; Matematik;

   Sammanfattning : This thesis is devoted to the study of some homogenization problems with applications in lubrication theory. It consists of an introduction, five research papers (I–V) and a complementary appendix.Homogenization is a mathematical theory for studying differential equations with rapidly oscillating coefficients. LÄS MER