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Existence and asymptotic behaviour for the parabolic–parabolic Keller–Segel system with singular data

✍ Scribed by Ferreira, Lucas C F; Precioso, Juliana C


Book ID
120229114
Publisher
Institute of Physics
Year
2011
Tongue
English
Weight
316 KB
Volume
24
Category
Article
ISSN
0951-7715

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✍ Lucilla Corrias; Benoǐt Perthame 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 273 KB

We consider the classical parabolic-parabolic Keller-Segel system describing chemotaxis, i.e., when both the evolution of the biological population and the chemoattractant concentration are described by a parabolic equation. We prove that when the equation is set in the whole space R d and dimension