Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707806 | Applied Mathematics Letters | 2015 | 6 Pages |
Abstract
We present results for finite time blow-up for filtration problems with nonlinear reaction under appropriate assumptions on the nonlinearities and the initial data. In particular, we prove first finite time blow-up of solutions subject to sufficiently large initial data provided that the reaction term “overpowers” the nonlinear diffusion in a certain sense. Secondly, under related assumptions on the nonlinearities, we show that initial data above positive stationary state solutions will always lead to finite time blow-up.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
K. Fellner, E. Latos, G. Pisante,