A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales
Joint Authors
Holmbom, Anders
Persson, Jens
Flodén, Liselott
Olsson Lindberg, Marianne
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-05
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the homogenization of the linear parabolic problem ρ(x/ε2)∂tuε(x,t)-∇·(a(x/ε1,t/ε12)∇uε(x,t))=f(x,t) which exhibits a mismatch between the spatial scales in the sense that the coefficient a(x/ε1,t/ε12) of the elliptic part has one frequency of fast spatial oscillations, whereas the coefficient ρ(x/ε2) of the time derivative contains a faster spatial scale.
It is shown that the faster spatial microscale does not give rise to any corrector term and that there is only one local problem needed to characterize the homogenized problem.
Hence, the problem is not of a reiterated type even though two rapid scales of spatial oscillation appear.
American Psychological Association (APA)
Flodén, Liselott& Holmbom, Anders& Olsson Lindberg, Marianne& Persson, Jens. 2013. A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-464064
Modern Language Association (MLA)
Flodén, Liselott…[et al.]. A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales. Abstract and Applied Analysis No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-464064
American Medical Association (AMA)
Flodén, Liselott& Holmbom, Anders& Olsson Lindberg, Marianne& Persson, Jens. A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-464064
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464064