Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

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Abstract

We discuss the quenching phenomena for a system of heat equations coupled with nonlinear boundary flux. We determine a critical value for the exponents in the boundary flux, such that only in the super critical case the simultaneous quenching can happen for any solution.

Keywords:

quenching simultaneous non-simultaneous nonlinear boundary flux.
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Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux. (2021). Communications in Mathematical Research, 25(1), 88-96. https://www.global-sci.com/index.php/cmr/article/view/8602