Abstract: We considered blowup phenomena of solutions to the initial boundary value problem for a class of Newtonian filtration equations with dissipative gradient and nonlocal source terms by energy estimation method. We gave the condition whether the blowup of solution occurred or not. Then by using the suitable auxiliary function and Sobolev inequalities, we estimated the upper and lower bounds of blowup time of solutions.

Key words: blowup, nonlocal source, dissipative gradient,  Newtonian filtration equation