Research
Uniform blow-up rate for a porous medium equation with a weighted localized source
Author affiliations
1 School of Transportation, Southeast University, Nanjing 210096, China
2 School of Automation, Southeast University, Nanjing 210096, China
3 Department of Mathematics, Southeast University, Nanjing 210096, China
Citation and License
Boundary Value Problems 2011, 2011:57 doi:10.1186/1687-2770-2011-57
Published: 28 December 2011Abstract
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.
