Estimates on the blowup time for a quasilinear parabolic system

Abstract

In this paper, we will establish the lower and upper bounds for the blowup time of the solution to the following system

subject to on and nonnegative initial data under some assumptions. Here is a smooth bounded open domain, and . We also deal with the non-simultaneous blowup phenomenon of the solution.

Keywords:

• System of parabolic equations
• nonlocal factor
• bounds for blowup time
• non-simultaneous blowup

AMS Subject Classifications:

• 35K59

Notes

No potential conflict of interest was reported by the authors.