The conditions for blow-up and global existence of solution for a degenerate and singular parabolic equation with a non-local source

  • N. Sukwong King Mongkut’s University of Technology North Bangkok
  • W. Sawangtong Mahidol University
  • P. Sawangtong King Mongkut's University of Technology North Bangkok

Abstract

In this paper, we consider the degenerate and singular porous medium equation with a non-local source 19411.png The conditions on the local and global existence of solutions are investigated. In the case of blow-up, the blow-up set is shown. Moreover, the uniform blow-up profile of the blow-up solution is given.

Published
2021-06-18
Section
Articoli