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Global existence and blow-up for a porous medium system with nonlocal boundary conditions and nonlocal sources. (English) Zbl 1263.35128
Summary: This paper is devoted to a porous medium system subject to nonlocal boundary conditions and with nonlocal sources. We investigate global existence and blow-up in finite time of nonnegative solutions by using a sub-super-solution method. Moreover, under appropriate hypotheses for the conditions, we obtain asymptotic properties of the solutions.

MSC:
35K45 Initial value problems for second-order parabolic systems
74H40 Long-time behavior of solutions for dynamical problems in solid mechanics
35K65 Degenerate parabolic equations
35K59 Quasilinear parabolic equations
35B44 Blow-up in context of PDEs
35R09 Integral partial differential equations
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