Global existence and blow-up for a nonlinear porous medium equation

Boundedness and blowup for nonlinear degenerate parabolic equations

“…Many authors also discussed the blowup properties of local or nonlocal sources or degenerate parabolic systems and obtained similar interesting results (see [6], [9], [10], [13], [14], [16], [19] and [21]). …”

Blow-up of solutions for nonlinear parabolic equation with nonlocal source and nonlocal boundary condition

“…Motivated by [21], in this section, we firstly show the blow up rate of the solution to problem (1.1), which gives the blow up rate of uðx; tÞ near the blow up time immediately.…”

Uniform blow-up rate for compressible reactive gas model

“…Next, we give the following Lemmas. Lemma 2.1 [12] Suppose that u 0 (x) ∈ C 2+α (B R ) ∩ C(B R ) and satisfies the above conditions. Then, there exists a small constant t 0 > 0 such that problem (1) admits a unique classical solution on B R × [0, t 0 ].…”

“…In recent years, much effort has been devoted to the study of blow-up properties for nonlocal parabolic equations of the above model types [10][11][12][13][14][15][16][17][18][19][20] or their references therein. Deng et al [10] studied the IBVP as…”