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Measure Valued Solutions of the 2D Keller–Segel System

✍ Scribed by S. Luckhaus, Y. Sugiyama, J. J. L. Velázquez


Book ID
120747770
Publisher
Springer
Year
2012
Tongue
English
Weight
547 KB
Volume
206
Category
Article
ISSN
0003-9527

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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