Incomplete quenching in a system of heat equations coupled at the boundary

Incomplete quenching in a system of heat equations coupled at the boundary
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DOI:
10.1016/j.jmaa.2008.05.037
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发表时间:
2008-10
影响因子:
1.3
通讯作者:
R. Ferreira;A. Pablo;M. Pérez-Llanos;J. Rossi
R. Ferreira;A. Pablo;M. Pérez-Llanos;J. Rossi
中科院分区:
数学3区
文献类型:
--
作者:
R. Ferreira;A. Pablo;M. Pérez-Llanos;J. Rossi

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In this paper we find a possible continuation for quenching solutions to a system of heat equations coupled at the boundary condition. This system exhibits simultaneous and non-simultaneous quenching. For non-simultaneous quenching our continuation is a solution of a parabolic problem with Neumann boundary conditions. We also give some results for simultaneous quenching and present some numerical experiments that suggest that the approximations are not uniformly bounded in this case.