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  5. Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux

来源 :数学研究通讯 | 被引量 : 0次 | 上传用户：qween
【摘 要】
：
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
【作 者】
：
JIN CHUN-HUA YIN JING-XUE ZHAN 
【机 构】
：
Department of Mathematics
【出 处】
：
数学研究通讯
【发表日期】
：
2004年期
【关键词】
：
quenching simultaneous non-simultaneous nonlinear boundary flux 
【基金项目】
：
国家自然科学基金;Specific Foundation for Ph.D. Specialities of Educational Department of China
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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.
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