Incomplete quenching of heat equations with coupled singular logarithms boundary fluxes

Incomplete quenching of heat equations with coupled singular logarithms boundary fluxes
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具有耦合奇异对数边界通量的热方程的不完全淬灭

DOI:
10.1016/j.amc.2010.12.020
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发表时间:
2011-02
影响因子:
4
通讯作者:
Zeng, Rong
Zeng, Rong
中科院分区:
数学2区
文献类型:
--
作者:
Zhou, Shouming;Mu, Chunlai;Zeng, Rong

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This paper deals with quenching phenomena for a heat equations with coupled singular logarithms boundary fluxes. Under appropriate hypotheses, the non-simultaneous quenching of the solution for the system is proved, and the estimates of quenching rates are given. Then we give a natural continuation of the solution (u,v) after the quenching time when the equations occurs non-simultaneous quenching. Moreover, we identify the heat equations verified by the continuation beyond quenching time, i.e., the equations occurs incomplete quenching.
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