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Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux
Authors:Jin Chun-hua  Yin Jing-xue  Zhang Xu-ping
Institution:Department of Mathematics;Jilin University;Changchun;130012
Abstract:We discuss the quenching phenomena for a system of heat equations cou-pled 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 quench-ing can happen for any solution.
Keywords:quenching  simultaneous  non-simultaneous  nonlinear boundary flux
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