Sökning: "Homogenization"

Visar resultat 11 - 15 av 182 avhandlingar innehållade ordet Homogenization.

  1. 11. Reiterated homogenization and G-convergence for some sequences of monotone operators

    Författare :Marianne Olsson; Mårten Gulliksson; Anders Holmbom; Nils Svanstedt; Mittuniversitetet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Homogenization; G-convergence; Multiple scales; Monotone operators; MATHEMATICS; MATEMATIK;

    Sammanfattning : In this thesis, the main focus is on G-convergence and homogenization of monotone parabolic equations with multiple scales. This kind of equation is examined with respect to existence and uniqueness of the solution, in view of the properties of some monotone operators. LÄS MER

  3. 12. Scaling effects and homogenization of reaction-diffusion problems with nonlinear drift

    Författare :Vishnu Raveendran; Adrian Muntean; Irina Pettersson; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; homogenization; asymptotic expansion with drift; two-scale convergence with drift; effective transmission condition; dimension reduction; two-scale system; nonlinear dispersion; Matematik; Mathematics;

    Sammanfattning : We study the periodic homogenization of reaction-diffusion problems with nonlinear drift describing the transport of interacting particles in composite materials. The microscopic model is derived as the hydrodynamic limit of a totally asymmetric simple exclusion process for a population of interacting particles crossing a domain with obstacles. LÄS MER

  4. 13. 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

  5. 14. 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

  7. 15. Homogenization of reaction-diffusion problems with nonlinear drift in thin structures

    Författare :Vishnu Raveendran; Adrian Muntean; Emilio N.M. Cirillo; Claudia Timofte; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Thin layer; homogenization; dimension reduction; reaction-diffusion-convection problem; two-scale convergence; effective transmission condition; fast drift; weak solvability of quasi-linear parabolic systems in unbounded domains.; Matematik; Mathematics;

    Sammanfattning : We study the question of periodic homogenization of a variably scaled reaction-diffusion equation with non-linear drift of polynomial type. The non-linear drift was derived as hydrodynamic limit of a totally asymmetric simple exclusion process (TASEP) for a population of interacting particles crossing a domain with obstacle. LÄS MER