Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$n≥3

@article{Souplet2019BlowupPF,
  title={Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions \$\$\{n\geq 3\}\$\$n≥3},
  author={P. Souplet and M. Winkler},
  journal={Communications in Mathematical Physics},
  year={2019},
  volume={367},
  pages={665-681}
}
We study the blow-up asymptotics of radially decreasing solutions of the parabolic–elliptic Keller–Segel–Patlak system in space dimensions $$ {n \geq 3}$$n≥3. In view of the biological background of this system and of its mass conservation property, blowup is usually interpreted as a phenomenon of concentration or aggregation of the bacterial population. Understanding the asymptotic behavior of solutions at the blowup time is thus meaningful for the interpretation of the model. Under mild… Expand
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