A one phase Stefan problem in nonlinear conduction is considered. The problem is shown to admit a unique solution for small times.Proof of existence and uniqueness is obtained via a contraction mapping techinque and use of the fixed point theorem. An exact solution is obtained which is a travelling front moving with constant speed.
On a One-Phase Stefan Problem in Nonlinear Conduction
DE LILLO, Silvana;SALVATORI, Maria Cesarina
2002
Abstract
A one phase Stefan problem in nonlinear conduction is considered. The problem is shown to admit a unique solution for small times.Proof of existence and uniqueness is obtained via a contraction mapping techinque and use of the fixed point theorem. An exact solution is obtained which is a travelling front moving with constant speed.File in questo prodotto:
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