10. Blown‐ups of heat‐conduction of ground temperature
Chao Li
(Chengdu Institute of Meteorology, Chengdu, The People’s Republic of China)
Soucheng OuYang
(Chengdu Institute of Meteorology, Chengdu, The People’s Republic of China)
Yi Lin
(Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA)
Maocang Tang
(Department of Physics and Meteorology, Chinese Academy of Sciencies, Lanzhou, The People’s Republic of China)
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Abstract
In this paper, a class of nonlinear heat‐conduction equations is derived. The properties of these heat‐conduction equations are analyzed. It is shown that the solutions of these equations contain singularity. That is, when T = Tm, discontinuity, i.e. blown‐up, occurs to the solutions. The occurrence of the blown‐ups is closely related the abnormal distribution of the initial ground temperatures, and so there might be some connections between blown‐ups and earthquakes.
Keywords
Citation
Li, C., OuYang, S., Lin, Y. and Tang, M. (1998), "10. Blown‐ups of heat‐conduction of ground temperature", Kybernetes, Vol. 27 No. 6/7, pp. 721-729. https://doi.org/10.1108/03684929810223120
Publisher
:MCB UP Ltd
Copyright © 1998, MCB UP Limited