Abstract
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 language | English |
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Pages (from-to) | 31-80 |
Number of pages | 50 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 206 |
Issue number | 1 |
DOIs | |
Publication status | Published - Oct 2012 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering