Measure Valued Solutions of the 2D Keller-Segel System

作者:Luckhaus S*; Sugiyama Y; Velazquez J J L
来源:Archive for Rational Mechanics and Analysis, 2012, 206(1): 31-80.
DOI:10.1007/s00205-012-0549-9

摘要

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.

  • 出版日期2012-10