A Stefan problem associated with the Burgers equation is considered. The problem is reduced to a nonlinear integral equation which is analysed and shown to have a unique solution. The system admits a shock solution which travels with the same velocity as that of the free boundary.
On a Burgers-Stefan problem
DE LILLO, Silvana;
2000
Abstract
A Stefan problem associated with the Burgers equation is considered. The problem is reduced to a nonlinear integral equation which is analysed and shown to have a unique solution. The system admits a shock solution which travels with the same velocity as that of the free boundary.File in questo prodotto:
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