Sökning: "monotone convergence"

Visar resultat 1 - 5 av 22 avhandlingar innehållade orden monotone convergence.

1. 1. Selected Topics in Homogenization

   Författare :Jens Persson; Anders Holmbom; Liselott Flodén; Marianne Olsson Lindberg; Mårten Gulliksson; Peter Wall; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization theory; H-convergence; two-scale convergence; very weak two-scale convergence; multiscale convergence; very weak multiscale convergence; evolution-multiscale convergence; very weak evolution-multiscale convergence; λ-scale convergence; non-periodic linear elliptic problems; evolution-multiscale linear parabolic problems; evolution-multiscale monotone parabolic problems; detection of scales of heterogeneity;

   Sammanfattning : The main focus of the present thesis is on the homogenization of some selected elliptic and parabolic problems. More precisely, we homogenize: non-periodic linear elliptic problems in two dimensions exhibiting a homothetic scaling property; two types of evolution-multiscale linear parabolic problems, one having two spatial and two temporal microscopic scales where the latter ones are given in terms of a two-parameter family, and one having two spatial and three temporal microscopic scales that are fixed power functions; and, finally, evolution-multiscale monotone parabolic problems with one spatial and an arbitrary number of temporal microscopic scales that are not restricted to be given in terms of power functions. 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. G-convergence and homogenization for some monotone operators with multiple scales

   Författare :Liselott Flodén; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; homogenization; monotone operators; multiscale convergence; parabolic equations; MATHEMATICS; MATEMATIK;

   Sammanfattning : This thesis deals with questions concerning the convergence of sequences of functions and operators. G-convergence is studied for elliptic and parabolic equations and the necessary investigations of the properties of certain monotone operators are made. LÄS MER

7. 5. G-Convergence and Homogenization of some Monotone Operators

   Författare :Marianne Olsson; Anders Holmbom; Nils Svanstedt; Mårten Gulliksson; Jan Françu; Mittuniversitetet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; G-convergence; homogenization; two-scale convergence; MATHEMATICS; MATEMATIK;

   Sammanfattning : In this thesis we investigate some partial differential equations with respect to G-convergence and homogenization. We study a few monotone parabolic equations that contain periodic oscillations on several scales, and also some linear elliptic and parabolic problems where there are no periodicity assumptions. LÄS MER