A method to solve a one-phase Stefan problem associated to the Burgers equation is outlined. It is shown that the problem admits an exact solution which is a shock wave. The shock wave travels with the appropriate free boundary velocity and is found to be stable.
Solutions of a Burgers-Stefan problem
DE LILLO, Silvana
2000
Abstract
A method to solve a one-phase Stefan problem associated to the Burgers equation is outlined. It is shown that the problem admits an exact solution which is a shock wave. The shock wave travels with the appropriate free boundary velocity and is found to be stable.File in questo prodotto:
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