A finite volume scheme for a Keller–Segel model with additional cross-diffusion

@inproceedings{BessemoulinChatard2014AFV,
  title={A finite volume scheme for a Keller–Segel model with additional cross-diffusion},
  author={Marianne Bessemoulin-Chatard and Ansgar Jungel},
  year={2014}
}
A finite volume scheme for the (Patlak-) Keller-Segel model in two space dimensions with an additional cross-diffusion term in the elliptic equation for the chemical signal is analyzed. The main feature of the model is that there exists a new entropy functional yielding gradient estimates for the cell density and chemical concentration. The main features of the numerical scheme are positivity preservation, mass conservation, entropy stability, and—under additional assumptions—entropy… CONTINUE READING

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