Search for dissertations about: "G-convergence"
Showing result 1 - 5 of 10 swedish dissertations containing the word G-convergence.
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1. 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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2. 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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3. 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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4. 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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5. The Dirac Operator; From Numerics to the Theory of G-convergence
Abstract : We consider two main issues concerning the Dirac operator, the first is widely known as the appearance of spurious eigenvalues within the spectrum. The second is the study of the asymptotic behavior of the eigenvalues for a family of Dirac operators with oscillatory potential added to the Coulomb-Dirac Hamiltonian. READ MORE