Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains

@inproceedings{Schmuck2012UpscaledPM,
  title={Upscaled phase-field models for interfacial dynamics in strongly heterogeneous domains},
  author={Markus Schmuck and Marc Pradas and Grigorios A. Pavliotis and Serafim Kalliadasis},
  year={2012}
}
We derive a new, effective macroscopic Cahn–Hilliard equation whose homogeneous free energy is represented by fourth-order polynomials, which form the frequently applied double-well potential. This upscaling is done for perforated/strongly heterogeneous domains. To the best knowledge of the authors, this seems to be the first attempt of upscaling the Cahn–Hilliard equation in such domains. The new homogenized equation should have a broad range of applicability owing to the well-known… CONTINUE READING
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