A two-phase free boundary problem associated with the Burgers equation is considered. The problem is reduced to a system of nonlinear integral equations which is analysed and shown to have a unique solution. The system admits a two-component shock solution which travels with the same velocity as that of the free boundary. The stability analysis of such a solution shows the existence of stability and instability regions according to different values of the parameters characterizing the system.
On a two-phase free boundary problem
DE LILLO, Silvana;
2003
Abstract
A two-phase free boundary problem associated with the Burgers equation is considered. The problem is reduced to a system of nonlinear integral equations which is analysed and shown to have a unique solution. The system admits a two-component shock solution which travels with the same velocity as that of the free boundary. The stability analysis of such a solution shows the existence of stability and instability regions according to different values of the parameters characterizing the system.File in questo prodotto:
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