Uniform blow-up rate for a porous medium equation with a weighted localized source
Weili Zeng, Xiaobo Lu, Qilin Liu · Boundary Value Problems · 2011
Abstract In this article, we investigate the Dirichlet problem for a porous medium equation with a more complicated source term. In some cases, we prove that the solutions have global blow-up and the rate of blow-up is uniform in all compact subsets of the domain. Moreover, in each case, the blow-up rate of |u(t)|∞ is precisely determined.