In this paper, we derive bounds for the solutions of a quasilinear heat equation in a finite cylindrical region if the far end and the lateral surface are held at zero temperature, and a nonzero temperature is applied at the near end. Some continuous dependence inequalities are also obtained. We also investigate the case in which a given heat flux is prescribed at the near end, instead of a given temperature.
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Titolo: | Continous dependance result for a class of nonlinear heat equations in a cylindrical region |
Autori: | |
Data di pubblicazione: | 2009 |
Rivista: | |
Abstract: | In this paper, we derive bounds for the solutions of a quasilinear heat equation in a finite cylindrical region if the far end and the lateral surface are held at zero temperature, and a nonzero temperature is applied at the near end. Some continuous dependence inequalities are also obtained. We also investigate the case in which a given heat flux is prescribed at the near end, instead of a given temperature. |
Handle: | http://hdl.handle.net/11584/14986 |
Tipologia: | 1.1 Articolo in rivista |
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