Abstract
This article deals with the resolution of a nonlinear boundary value problem arising from a crystallisation experiment. The model developed requires that the heat equation be solved in an open bounded set Ω of R3 with mixed non-linear boundary conditions. The existence of a unique solution is shown using monotone operators. This same result can be found by a constructive method using lower and upper solutions. The numerical analysis of the problem is presented. The axial symmetry of revolution of Ω is allowed for by the use of rotationally invariant finite elements which allow the problem to be reduced to one in two dimensions only.
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