This article is cited in 1 paper

Half-line solutions of a nonlinear heat conduction problem

S. De Lillo^a, G. Lupo^b, M. Sommacal<sup>c

a</sup> Università degli Studi di Perugia
^b Dipartimento di Matematica e Informatica, Universita degli Studi di Perugia
^c Université Pierre & Marie Curie, Paris VI

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.

Keywords: nonlinear, heat conduction, half-line.

DOI: 10.4213/tmf6070

 English version: Theoretical and Mathematical Physics, 2007, 152:1, 926–932

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