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Fully parabolic Keller–Segel model for chemotaxis with prevention of overcrowding

✍ Scribed by Di Francesco, Marco; Rosado, Jesús

Book ID
120229113
Publisher
Institute of Physics
Year
2008
Tongue
English
Weight
255 KB
Volume
21
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