Measure Valued Solutions of the 2D Keller-Segel System

S. Luckhaus, Y. Sugiyama, J. J.L. Velázquez

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


We develop a theory of global measure-valued solutions for the classical Keller-Segel model. These solutions are obtained considering the limit of solutions of a regularized problem. We also prove that different regularizations yield different limit measures in the case in which classical solutions of the Keller-Segel system are not globally defined in time.

Original languageEnglish
Pages (from-to)31-80
Number of pages50
JournalArchive for Rational Mechanics and Analysis
Issue number1
Publication statusPublished - Oct 2012

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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