Explicit formula for the solution of convex conservation laws with boundary condition

Joseph, K. T. ; Gowda, G. D. Veerappa (1991) Explicit formula for the solution of convex conservation laws with boundary condition Duke Mathematical Journal, 62 (2). ISSN 0012-7094

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Official URL: http://doi.org/10.1215/S0012-7094-91-06216-2

Related URL: http://dx.doi.org/10.1215/S0012-7094-91-06216-2

Abstract

We consider the mixed initial boundary value problem for strictly convex conservation laws u, + f(u)x 0 in x > O, > O, with initial condition u(x, O)= Uo(X). The boundary condition is prescribed in the sense of Bardos, Leroux and Nedelec.

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