Search for dissertations about: "very weak two-scale convergence"
Found 4 swedish dissertations containing the words very weak two-scale convergence.
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1. Selected Topics in Homogenization
Abstract : 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. READ MORE
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2. 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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3. Further Investigations of Convergence Results for Homogenization Problems with Various Combinations of Scales
Abstract : This thesis is based on six papers. We study the homogenization of selected parabolic problems with one or more microscopic scales in space and time, respectively. READ MORE
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4. Some new results in homogenization of flow in porous media with mixed boundary condition
Abstract : The present thesis is devoted to derivation of Darcy’s Law for incompressible Newtonian fluid in perforated domains by means of homogenization techniques.The problem of describing flow in porous media occurs in the study of various physical phenomena such as filtration in sandy soils, blood circulation in capillaries etc. READ MORE