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Global existence for the Cauchy problem of the parabolic–parabolic Keller–Segel system on the plane

✍ Scribed by Noriko Mizoguchi


Book ID
120914045
Publisher
Springer
Year
2012
Tongue
English
Weight
236 KB
Volume
48
Category
Article
ISSN
0944-2669

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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