A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales
We study the homogenization of a parabolic equation with oscillations in both space and time in the coefficient a(x/ε,t/ε2) in the elliptic part and spatial oscillations in the coefficient ρ(x/ε) that is multiplied with the time derivative ∂tuε. We obtain a strange term in the local problem. This p...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/643458 |
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| author | L. Flodén A. Holmbom M. Olsson Lindberg |
| author_facet | L. Flodén A. Holmbom M. Olsson Lindberg |
| author_sort | L. Flodén |
| collection | DOAJ |
| description | We study the homogenization of a parabolic equation with oscillations in both space and time in the coefficient a(x/ε,t/ε2)
in the elliptic part and spatial oscillations in the coefficient ρ(x/ε) that is multiplied with the time derivative ∂tuε. We obtain a strange term in the local problem. This phenomenon appears as a consequence of the combination of the spatial oscillation in ρ(x/ε) and the temporal oscillation in a(x/ε,t/ε2) and disappears if either of these oscillations is removed. |
| format | Article |
| id | doaj-art-c5fdba8854924585a9f4107d5ee27e10 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-c5fdba8854924585a9f4107d5ee27e102025-02-03T01:10:39ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/643458643458A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal ScalesL. Flodén0A. Holmbom1M. Olsson Lindberg2Department of Engineering and Sustainable Development, Mid Sweden University, 83125 Östersund, SwedenDepartment of Engineering and Sustainable Development, Mid Sweden University, 83125 Östersund, SwedenDepartment of Engineering and Sustainable Development, Mid Sweden University, 83125 Östersund, SwedenWe study the homogenization of a parabolic equation with oscillations in both space and time in the coefficient a(x/ε,t/ε2) in the elliptic part and spatial oscillations in the coefficient ρ(x/ε) that is multiplied with the time derivative ∂tuε. We obtain a strange term in the local problem. This phenomenon appears as a consequence of the combination of the spatial oscillation in ρ(x/ε) and the temporal oscillation in a(x/ε,t/ε2) and disappears if either of these oscillations is removed.http://dx.doi.org/10.1155/2012/643458 |
| spellingShingle | L. Flodén A. Holmbom M. Olsson Lindberg A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales Journal of Function Spaces and Applications |
| title | A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales |
| title_full | A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales |
| title_fullStr | A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales |
| title_full_unstemmed | A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales |
| title_short | A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales |
| title_sort | strange term in the homogenization of parabolic equations with two spatial and two temporal scales |
| url | http://dx.doi.org/10.1155/2012/643458 |
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