Half-line solutions of a nonlinear heat conduction problem |
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| Authors: | S. De Lillo G. Lupo M. Sommacal |
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| Affiliation: | (1) Dipartimento di Matematica e Informatica, Università degli studi di Perugia, INFN, Sezione di Perugia, Via Vanvitelli 1, 06123 Perugia, Italy;(2) Laboratoire J.-L. Lions, Université Pierre et Marie Curie, Paris VI, France |
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| Abstract: | We solve a half-line problem for a nonlinear diffusion equation with a given time-dependent thermal conductivity at the origin. The problem reduces to a linear Volterra integral equation, which is solvable by Picard’s process of successive approximations. We analyze some explicit examples numerically. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 152, No. 1, pp. 58–65, July, 2007. |
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| Keywords: | nonlinear heat conduction half-line |
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