Homogenization Results for Parabolic and Hyperbolic-Parabolic Problems and Further Results on Homogenization in Perforated Domains

• Main Author: Lobkova, Tatiana
• Format: Others
• Language: English
• Published: Mittuniversitetet, Avdelningen för kvalitetsteknik, maskinteknik och matematik 2017
• Subjects: Mathematics; Matematik
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-30683; http://nbn-resolving.de/urn:isbn:978-91-88527-15-8

This thesis is based on four papers. The main focus is on homogenization of selected parabolic problems with time oscillations, and hyperbolic-parabolic problems without time oscillations. The approaches are prepared by means of certain methods, such as two-scale convergence, multiscale convergence and evolution multiscale convergence. We also discuss further results on homogenization of evolution problems in perforated domains. === <p>Vid tidpunkten för försvar av avhandlingen var följande delarbeten opublicerade: delarbete 1 inskickat, delarbete 2 accepterat, delarbete 4 inskickat.</p><p>At the time of the defence the following papers were unpublished: paper 1 submitted, paper 2 accepted, paper 4 submitted.</p>