Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates

@article{Yang2019ReactionsubdiffusionSA,
  title={Reaction-subdiffusion systems and memory: spectra, Turing instability and decay estimates},
  author={Jichen Yang and J. Rademacher},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
The modelling of linear and nonlinear reaction-subdiffusion processes is more subtle than normal diffusion and causes different phenomena. The resulting equations feature a spatial Laplacian with a temporal memory term through a time fractional derivative. It is known that the precise form depends on the interaction of dispersal and reaction, and leads to qualitative differences. We refine these results by defining generalised spectra through dispersion relations, which allows us to examine the… Expand
Reaction-subdiffusion equations with species-dependent movement

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