Two-scale homogenization of abstract linear time-dependent PDEs

@article{Neukamm2020TwoscaleHO,
  title={Two-scale homogenization of abstract linear time-dependent PDEs},
  author={Stefan Neukamm and Mario Varga and Marcus Waurick},
  journal={Asymptotic Analysis},
  year={2020}
}
Many time-dependent linear partial differential equations of mathematical physics and continuum mechanics can be phrased in the form of an abstract evolutionary system defined on a Hilbert space. In this paper we discuss a general framework for homogenization (periodic and stochastic) of such systems. The method combines a unified Hilbert space approach to evolutionary systems with an operator theoretic reformulation of the well-established periodic unfolding method in homogenization. Regarding… 

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