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Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type - MaRDI portal

Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type (Q630583)

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scientific article; zbMATH DE number 5867219
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Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type
scientific article; zbMATH DE number 5867219

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    Extinction, decay and blow-up for Keller-Segel systems of fast diffusion type (English)
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    17 March 2011
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    The authors consider the Cauchy problem for a Keller-Segel system where the principal part is of the fast diffusion type. They construct global weak solutions with small initial data and show the existence of a blow-up solution in 2D. Decay and extinction are studied as well.
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    Cauchy problem
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