Lower bounds estimates of the blow-up time for a nonlinear nonlocal porous medium equation with Neumann boundary condition. (Chinese. English summary) Zbl 1374.35082
Summary: In this paper, the blow-up phenomena of a nonlinear nonlocal porous medium equation with nonhomogeneous Neumann boundary condition are investigated. By using a differential inequality technique, lower bounds estimates of the blow-up time are obtained when boundary flux is linear source or linear absorption.
MSC:
35B44 | Blow-up in context of PDEs |
35Q35 | PDEs in connection with fluid mechanics |
76S05 | Flows in porous media; filtration; seepage |