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Quenching rates for heat equations with coupled singular nonlinear boundary flux. (English) Zbl 1172.35433
The authors study quenching phenomena for heat equations with coupled singular nonlinear boundary fluxes and positive initial data. They give a criterion to identify the simultaneous and non-simultaneous quenching and obtained three kinds of simultaneous quenching rates for different nonlinear exponent regions and appropriate initial data.

35K60Nonlinear initial value problems for linear parabolic equations
35K55Nonlinear parabolic equations
35B40Asymptotic behavior of solutions of PDE
35B05Oscillation, zeros of solutions, mean value theorems, etc. (PDE)
Full Text: DOI
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