Abstract
We study finite time quenching for the radial solutions of a system of heat equations coupled at the boundary condition. This system exhibits simultaneous and non-simultaneous quenching. In particular, three kinds of simultaneous quenching profiles are obtained for different nonlinear exponent regions and appropriate initial data.
Citation
Zhengce Zhang. Yanyan Li. "Asymptotic profile of quenching in a system of heat equations coupled at the boundary." Osaka J. Math. 49 (4) 1103 - 1119, December 2012.
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