Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws

Tatsien Li; Libin Wang

doi:10.3934/dcds.2006.15.597

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2006, Volume 15, Issue 2: 597-609. Doi: 10.3934/dcds.2006.15.597

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Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws

Tatsien Li^1, and
Libin Wang^1,

1.
School of Mathematical Sciences, Fudan University, 220 Handan Road, Shanghai 200433

Received: March 2005

Revised: November 2005

Published: April 2006

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Abstract

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.

Keywords:

Quasilinear hyperbolic system of conservation laws,
inverse generalized Riemann problem,
global exact shock reconstruction.

Mathematics Subject Classification: Primary: 35L45, 35L60, 35L65, 35R30.

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