Blow-up versus global existence of solutions to aggregation equations

Volume 38 / 2011

Grzegorz Karch, Kanako Suzuki Applicationes Mathematicae 38 (2011), 243-258 MSC: 35K15, 35B40, 92C17. DOI: 10.4064/am38-3-1

Abstract

A class of nonlinear viscous transport equations describing aggregation phenomena in biology is considered. General conditions on an interaction potential are obtained which lead either to the existence or to the nonexistence of global-in-time solutions.

Authors

  • Grzegorz KarchInstytut Matematyczny
    Uniwersytet Wrocławski
    pl. Grunwaldzki 2/4
    50-384 Wrocław, Poland
    e-mail
  • Kanako SuzukiGraduate School of Information Sciences
    Tohoku University
    6-3-09 Aramaki-aza-Aoba, Aoba-ku
    Sendai 980-8579, Japan
    e-mail

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