A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales | Zendy

Liselott‎ Flodén | Zendy; Anders Holmbom | Zendy; ‎Marianne Olsson Lindberg | Zendy; Jens Persson | Zendy

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A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales

Author(s) -

Liselott‎ Flodén,

Anders Holmbom,

‎Marianne Olsson Lindberg,

Jens Persson

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/329704

Subject(s) - homogenization (climate) , microscale chemistry , mathematics , mathematical analysis , oscillation (cell signaling) , biodiversity , ecology , genetics , mathematics education , biology

We consider the homogenization of the linear parabolic problem which exhibits a mismatch between the spatial scales in the sense that the coefficient of the elliptic part has one frequency of fast spatial oscillations, whereas the coefficient 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

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