Explicit construction of solutions to the Burgers equation with discontinuous initial-boundary conditions

A solution of the initial-boundary value problem on the strip (0,1) × [0, 1] for scalar conservation laws with strictly convex flux can be obtained by considering gradients of the unique solution V to an associated Hamilton-Jacobi equation (with appropriately defined initial and boundary conditions)...

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Veröffentlicht in:	Networks and heterogeneous media 2013-09, Vol.8 (3), p.727-744
Hauptverfasser:	Désilles, Anya, Frankowska, Hélène
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Optimization and Control
Online-Zugang:	Volltext
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