Search for dissertations about: "λscale convergence"
Found 2 swedish dissertations containing the words λscale convergence.

1. Selected Topics in Homogenization
University dissertation from Östersund : MittuniversitetetAbstract : The main focus of the present thesis is on the homogenization of some selected elliptic and parabolic problems. More precisely, we homogenize: nonperiodic linear elliptic problems in two dimensions exhibiting a homothetic scaling property; two types of evolutionmultiscale linear parabolic problems, one having two spatial and two temporal microscopic scales where the latter ones are given in terms of a twoparameter family, and one having two spatial and three temporal microscopic scales that are fixed power functions; and, finally, evolutionmultiscale 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

2. Homogenization of Some Selected Elliptic and Parabolic Problems Employing Suitable Generalized Modes of TwoScale Convergence
University dissertation from Östersund : MittuniversitetetAbstract : 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 twoscale convergence. Since homogenization is defined in terms of Hconvergence, we desire to find the Hlimits of sequences of periodic monotone parabolic operators with two spatial scales and an arbitrary number of temporal scales and the Hlimits of sequences of twodimensional possibly nonperiodic linear elliptic operators by utilizing the theories for evolutionmultiscale convergence and λscale convergence, respectively, which are generalizations of the classical twoscale convergence mode and custommade to treat homogenization problems of the prescribed kinds. READ MORE