Bounds for the blowup time of the solution to a parabolic system with nonlocal factors in nonlinearities

Time‐weighted blow‐up rates and pointwise profile for single‐point blow‐up solutions in reaction–diffusion equations

“…The optimal inequalities between u and v are the key clues to solve asymptotic behavior near blow-up time. The conditions in (2.1) are much popular in guaranteeing solutions nondecreasing in time (e.g., [6][7][8][9]). The form of (2.2) is more complicated than that of (2.1), but the requirement on the initial data of (2.2) is weaker than that of (2.1).…”

“…The results about Fujita blow-up phenomena in unbounded domains can be found in [7,8] and the references cited there. For fully coupled systems, one can refer to [9][10][11][12][13][14][15][16][17][18][19][20][21] for singularity of solutions. For singular or degenerate problems, one can find the corresponding results in [22][23][24].…”

Estimates for the blowup time of a combustion model with nonlocal heat sources

“…Yet the nonlinearities in (1.3) are local ones while those in (1.1) are nonlocal ones. The bounds for the blowup time of the solution to the following model had been established in [2],…”

Lower Bound Estimate of Blow Up Time for the Porous Medium Equations under Dirichlet and Neumann Boundary Conditions

“…Blow-up at a finite time and lower bound of blowing up time of solution for the parabolic equations are studied in [4,5]. The lower bound of blowing up time for solutions of other similar equations or equation set is shown in [6][7][8][9].…”