A Strange Term in the Homogenization of Parabolic Equations with Two Spatial and Two Temporal Scales. (2nd February 2012)

• Record Type: Journal Article
• Authors: Flodén, L.; Holmbom, A.; Lindberg, M. Olsson
• Other Names: Birnir Bjorn Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2012(2012)
• Publication Date: 2012-02-02
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2012/643458
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : We study the homogenization of a parabolic equation with oscillations in both space and time in the coefficient a ( x / ε, t / ε 2 ) in the elliptic part and spatial oscillations in the coefficient ρ ( x / ε ) that is multiplied with the time derivative ∂ t u ε . 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 / ε 2 ) and disappears if either of these oscillations is removed.