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Blow-up phenomena for porous medium equation with nonlinear flux on the boundary. (English) Zbl 1397.35211

Summary: We investigate the blow-up phenomena for nonnegative solutions of porous medium equation with Neumann boundary conditions. We find that the absorption and the nonlinear flux on the boundary have some competitions in the blow-up phenomena.

MSC:

35Q35 PDEs in connection with fluid mechanics
35B44 Blow-up in context of PDEs
76S05 Flows in porous media; filtration; seepage
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