On a Diffuse Interface Model for Tumour Growth with Non-local Interactions and Degenerate Mobilities

@inproceedings{Frigeri2017OnAD,
  title={On a Diffuse Interface Model for Tumour Growth with Non-local Interactions and Degenerate Mobilities},
  author={Sergio Frigeri and Kei Fong Lam and Elisabetta Rocca},
  year={2017}
}
We study a non-local variant of a diffuse interface model proposed by Hawkins–Daarud et al. (Int. J. Numer. Methods Biomed. Eng. 28:3–24, 2012) for tumour growth in the presence of a chemical species acting as nutrient. The system consists of a Cahn–Hilliard equation coupled to a reaction-diffusion equation. For non-degenerate mobilities and smooth potentials, we derive well-posedness results, which are the non-local analogue of those obtained in Frigeri et al. (European J. Appl. Math. 2015… 
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