Convergence to a self similar solution of a one-dimensional one-phase Stefan Problem
Abstract
We revisit the one-dimensional one-phase Stefan problem with a Dirichlet boundary condition at x = 0 as stated in the book of Avner Friedman about parabolic equations [F3]. We prove that under rather general hypotheses on the initial data, the solution converges to a self-similar profile as t → +∞.
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