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May  2006, 15(2): 597-609. doi: 10.3934/dcds.2006.15.597

Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws

1. 

School of Mathematical Sciences, Fudan University, 220 Handan Road, Shanghai 200433, China, China

Received  March 2005 Revised  November 2005 Published  March 2006

In this paper, we consider the inverse generalized Riemann problem for quasilinear hyperbolic systems of conservation laws on the whole domain $t\geq 0$ and obtain that, under suitable conditions, the initial data on the positive (resp. negative) $x$-axis can be uniquely determined by the position of $n$ non-degenerate shocks and the initial data on the negative (resp. positive) $x$-axis.
Citation: Tatsien Li, Libin Wang. Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws. Discrete & Continuous Dynamical Systems - A, 2006, 15 (2) : 597-609. doi: 10.3934/dcds.2006.15.597
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