WFRF:(Gulliksson Mårten Professor)
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| Fältnamn | Indikatorer | Metadata |
|---|---|---|
| 000 | 03460nam a2200397 4500 | |
| 001 | oai:DiVA.org:miun-94 | |
| 003 | SwePub | |
| 008 | 080210s2008 | |||||||||||000 ||eng| | |
| 020 | a 9789185317851q print | |
| 024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-942 URI |
| 040 | a (SwePub)miun | |
| 041 | a engb eng | |
| 042 | 9 SwePub | |
| 072 | 7 | a vet2 swepub-contenttype |
| 072 | 7 | a dok2 swepub-publicationtype |
| 100 | 1 | a Olsson, Marianne,d 1973-u Mittuniversitetet,Institutionen för teknik och hållbar utveckling (-2013)4 aut0 (Swepub:miun)marols |
| 245 | 1 0 | a G-Convergence and Homogenization of some Monotone Operators |
| 264 | 1 | a Östersund :b Mid Sweden Univ,c 2008 |
| 300 | a 141 s. | |
| 338 | a electronic2 rdacarrier | |
| 490 | 0 | a Mid Sweden University doctoral thesis,x 1652-893X ;v 45 |
| 520 | a In this thesis we investigate some partial differential equations with respect to G-convergence and homogenization. We study a few monotone parabolic equations that contain periodic oscillations on several scales, and also some linear elliptic and parabolic problems where there are no periodicity assumptions. To begin with, we examine parabolic equations with multiple scales regarding the existence and uniqueness of the solution, in view of the properties of some monotone operators. We then consider G-convergence for elliptic and parabolic operators and recall some results that guarantee the existence of a well-posed limit problem. Then we proceed with some classical homogenization techniques that allow an explicit characterization of the limit operator in periodic cases. In this context, we prove G-convergence and homogenization results for a monotone parabolic problem with oscillations on two scales in the space variable. Then we consider two-scale convergence and the homogenization method based on this notion, and also its generalization to multiple scales. This is further extended to the case that allows oscillations in space as well as in time. We prove homogenization results for a monotone parabolic problem with oscillations on two spatial scales and one temporal scale, and for a linear parabolic problem where oscillations occur on one scale in space and two scales in time. Finally, we study some linear elliptic and parabolic problems where no periodicity assumptions are made and where the coefficients are created by certain integral operators. Here we prove results concerning when the G-limit may be obtained immediately and is equal to a certain weak limit of the sequence of coefficients. | |
| 650 | 7 | a NATURVETENSKAPx Matematik0 (SwePub)1012 hsv//swe |
| 650 | 7 | a NATURAL SCIENCESx Mathematics0 (SwePub)1012 hsv//eng |
| 653 | a G-convergence | |
| 653 | a homogenization | |
| 653 | a two-scale convergence | |
| 653 | a MATHEMATICS | |
| 653 | a MATEMATIK | |
| 700 | 1 | a Holmbom, Andersu Mittuniversitetet,Institutionen för teknik, fysik och matematik (-2008)4 ths |
| 700 | 1 | a Svanstedt, Nils4 ths |
| 700 | 1 | a Gulliksson, Mårtenu Mittuniversitetet,Institutionen för teknik, fysik och matematik (-2008)4 ths |
| 700 | 1 | a Françu, Jan,c Professoru Dept. of Mathematical Analysis4 opn |
| 710 | 2 | a Mittuniversitetetb Institutionen för teknik och hållbar utveckling (-2013)4 org |
| 856 | 4 | u https://miun.diva-portal.org/smash/get/diva2:1655/FULLTEXT01.pdfx primaryx Raw objecty fulltext |
| 856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:miun:diva-94 |
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