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Non-simultaneous quenching in a system of heat equations coupled at the boundary. (English) Zbl 1101.35008

The authors consider the phenomenon of quenching in a system of heat equations coupled at the boundary through singular absorptions and characterize in terms of the parameters involved when non-simultaneous quenching may appear.
Reviewer: Jiaqi Mo (Wuhu)

MSC:

35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35B40 Asymptotic behavior of solutions to PDEs
35K50 Systems of parabolic equations, boundary value problems (MSC2000)
35K55 Nonlinear parabolic equations