Search for dissertations about: "homogenization of monotone operators"
Showing result 1 - 5 of 9 swedish dissertations containing the words homogenization of monotone operators.
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1. Reiterated homogenization and G-convergence for some sequences of monotone operators
Abstract : 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. READ MORE
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2. G-Convergence and Homogenization of some Sequences of Monotone Differential Operators
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
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3. G-Convergence and Homogenization of some Monotone Operators
Abstract : 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. READ MORE
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4. G-convergence and homogenization for some monotone operators with multiple scales
Abstract : 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. READ MORE
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5. Homogenization of Some Selected Elliptic and Parabolic Problems Employing Suitable Generalized Modes of Two-Scale Convergence
Abstract : 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. READ MORE