Journal article Open Access

Solutions of a Burgers–Stefan problem

S De Lillo; Mark J. Ablowitz

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.

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Publication date:
July 1, 2000
DOI:
10.1016/s0375-9601(00)00358-3

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General Physics and Astronomy
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