Return to search

Homogenization of Partial Differential Equations using Multiscale Convergence Methods

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. We also consider a hyperbolic-parabolic problem with two spatial microscopic scales. The tools used are evolution settings of multiscale and very weak multiscale convergence, which are extensions of, or closely related to, the classical method of two-scale convergence. The novelty of the research in the thesis is the homogenization results and, for the studied parabolic problems, adapted compactness results of multiscale convergence type.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:miun-42036
Date January 2021
CreatorsJohnsen, Pernilla
PublisherMittuniversitetet, Institutionen för matematik och ämnesdidaktik, Sundsvall : Mid Sweden University
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeLicentiate thesis, monograph, info:eu-repo/semantics/masterThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess
RelationMid Sweden University licentiate thesis, 1652-8948 ; 183

Page generated in 0.0025 seconds