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:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/158455
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact