TY - JOUR T1 - Critical Quenching Exponents for Heat Equations Coupled with Nonlinear Boundary Flux AU - Jin , Chunhua AU - Yin , Jingxue AU - Zhang , Xuping JO - Communications in Mathematical Research VL - 1 SP - 88 EP - 96 PY - 2021 DA - 2021/06 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19286.html KW - quenching, simultaneous, non-simultaneous, nonlinear boundary flux. AB -

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.