Abstract
Multiscale homogenization of nonlinear non-monotone degenerated parabolic operators is investigated. Under a periodicity assumption on the coefficients of the operators under consideration, we obtain by means of multiscale convergence method, an accurate homogenization result. It is also shown that in spite of the presence of several time scales the global homogenized problem is not a reiterated one.
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Woukeng, J.L. Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales. Annali di Matematica 189, 357–379 (2010). https://doi.org/10.1007/s10231-009-0112-y
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DOI: https://doi.org/10.1007/s10231-009-0112-y