Porous medium equation systems under non-local boundary conditions with
blow-up analysis
Abstract
In this paper, we deal with the blow-up analysis of the porous media
equation system with non-local boundary conditions. By constructing
appropriate auxiliary functions and using differential inequality
techniques, we show that under certain conditions, the solution will
blow-up in finite time. We also draw the upper and lower bounds of
blow-up time. In addition, an example is given to verify the obtained
results.