This paper is concerned with the initial-boundary value problem of scalar\nconservation laws with weak discontinuous flux, whose initial data are a function\nwith two pieces of constant and whose boundary data are a constant\nfunction. Under the condition that the flux function has a finite number of\nweak discontinuous points, by using the structure of weak entropy solution of\nthe corresponding initial value problem and the boundary entropy condition\ndeveloped by Bardos-Leroux-Nedelec, we give a construction method to the\nglobal weak entropy solution for this initial-boundary value problem, and by\ninvestigating the interaction of elementary waves and the boundary, we clarify\nthe geometric structure and the behavior of boundary for the weak entropy\nsolution.
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