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

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DREHER, Michael, 2006. Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain

@unpublished{Dreher2006Analy-506, title={Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain}, year={2006}, author={Dreher, Michael} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/506"> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:49Z</dc:date> <dc:rights>deposit-license</dc:rights> <dc:format>application/pdf</dc:format> <dcterms:abstract xml:lang="eng">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.</dcterms:abstract> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:49Z</dcterms:available> <dc:language>eng</dc:language> <dc:creator>Dreher, Michael</dc:creator> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103416863-3868037-7"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/506"/> <dcterms:issued>2006</dcterms:issued> <dcterms:title>Analysis of a Population Model with Strong Cross-Diffusion in an Unbounded Domain</dcterms:title> <dc:contributor>Dreher, Michael</dc:contributor> </rdf:Description> </rdf:RDF>

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