Search for dissertations about: "periodic homogenization"
Showing result 11 - 15 of 28 swedish dissertations containing the words periodic homogenization.
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11. Homogenization in Perforated Domains
Abstract : Homogenization theory is the study of the asymptotic behaviour of solutionsto partial differential equations where high frequency oscillations occur.In the case of a perforated domain the oscillations are due to variations in thedomain of the equation. READ MORE
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12. Periodic Structures with Higher Symmetries: Analysis and Applications
Abstract : In this thesis, periodic structures with higher symmetries are studied. Their wave propagation characteristics are investigated and their potential applications are discussed. Higher-symmetric periodic structures are described with an additional geometrical operation beyond a translation operator. READ MORE
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13. Homogenization of Partial Differential Equations using Multiscale Convergence Methods
Abstract : 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. READ MORE
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14. Sequential convergence for functions and operators
Abstract : The mathematical discipline homogenization theory is closely related to convergence issues. In this thesis different types of convergence are studied and put in relation to each other. We consider the classical concepts of G- and H-convergence and compensated compactness. READ MORE
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15. A pseudoparabolic reaction-diffusion-mechanics system : Modeling, analysis and simulation
Abstract : In this thesis, parabolic-pseudoparabolic equations are derived coupling chemical reactions, diffusion, flow and mechanics in a heterogeneous medium using the framework of mixture theory. The weak solvability in 1-D of the obtained models is studied. READ MORE