The time-periodic unfolding operator and applications to parabolic homogenization
Micol Amar
Università di Roma La Sapienza, ItalyDaniele Andreucci
Università di Roma La Sapienza, ItalyDario Bellaveglia
Università di Roma La Sapienza, Italy
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Abstract
We apply the method of periodic unfolding to a classical homogenization problem for a parabolic equation. With respect to previous literature, we allow for capacity-like coefficients in the diffusion equation oscillating both in space and time, with general independent scales. Our approach relies upon a generalization of the unfolding technique to the time-periodic case.
Cite this article
Micol Amar, Daniele Andreucci, Dario Bellaveglia, The time-periodic unfolding operator and applications to parabolic homogenization. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 28 (2017), no. 4, pp. 663–700
DOI 10.4171/RLM/781