Publikation:

Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain

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preprint_216.pdf
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2006

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http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-22364
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We study a parabolic population model in the full space and prove the global in time existence of a weak solution. This model consists of two strongly coupled diffusion equations describing the population densities of two competing species. The system features intrinsic growth, inter- and intra-specific competition of the species, as well as diffusion, cross-diffusion and self-diffusion, and drift terms related to varying environment quality. The cross-diffusion terms can be large, making the system non-parabolic for large initial data. The method of our proof is a combination of a time semi-discretization, a special entropy symmetrizing the system, and compactness arguments.

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510 Mathematik

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ISO 690DREHER, Michael, 2006. Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain
BibTex
@unpublished{Dreher2006Analy-506,
  year={2006},
  title={Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain},
  author={Dreher, Michael}
}
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