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Large time behavior of the solutions to a one-dimensional Stefan problem with a kinetic condition at the free boundary
Published online by Cambridge University Press: 01 September 2004
Abstract
We consider a Stefan problem with a kinetic condition at the free boundary and prove the convergence of the solution as $t$ tends to infinity either to a travelling wave solution or to a self-similar solution. The key idea is to transform this problem into a problem for a single nonlocal parabolic equation which admits a comparison principle.
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- 2004 Cambridge University Press
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