Limiting Processes in Evolutionary Equations - A Hilbert Space Approach to Homogenization

• Main Author: Waurick, Marcus
• Other Authors: Technische Universität Dresden, Fakultät Mathematik und Naturwissenschaften
• Format: Doctoral Thesis
• Language: English
• Published: Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden 2011
• Subjects: Homogenisierung; Partielle Differentialgleichungen; Evolutionsgleichungen; Homogenization; Partial Differential Equations; Evolution Equations; ddc:510; rvk:SK 540
• Online Access: http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-67442; http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-67442; http://www.qucosa.de/fileadmin/data/qucosa/documents/6744/Waurick_Dissertation.pdf

In a Hilbert space setting homogenization of evolutionary equations is discussed. In order to do so, a suitable topology on material laws is introduced and several properties of that topology are shown. With those properties homogenization theorems of a large class of linear evolutionary problems of classical mathematical physics can be obtained. The results are exemplified by the equations of piezo-electro-magnetism.