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Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains

Analysis of PDEs 2016-05-03 v1

Abstract

The global existence of classical solutions to cross diffusion systems of more than 2 equations given on a planar domain is established. The results can apply to generalized Shigesada-Kawasaki-Teramoto (SKT) and food pyramid models whose diffusion and reaction can have polynomial growth of any order.

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Cite

@article{arxiv.1605.00043,
  title  = {Global Existence and Regularity Results for Large Cross Diffusion Models on Planar Domains},
  author = {Dung Le},
  journal= {arXiv preprint arXiv:1605.00043},
  year   = {2016}
}

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19 pages