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Large mass self-similar solutions of the parabolic–parabolic Keller–Segel model of chemotaxis

✍ Scribed by Piotr Biler; Lucilla Corrias; Jean Dolbeault


Book ID
105998783
Publisher
Springer
Year
2010
Tongue
English
Weight
490 KB
Volume
63
Category
Article
ISSN
0303-6812

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Asymptotic decay for the solutions of th
✍ 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