The linearized stability of solutions of nonlinear hyperbolic systems of conservation laws

Edwige Godlewski and Pierre-Arnaud Raviart

Mathematics and Computers in Simulation (MATCOM), 1999, vol. 50, issue 1, 77-95

Abstract: We study the linearized stability of a discontinuous solution of a multidimensional hyperbolic system of conservation laws by linearizing the system around the basic solution; the resulting linearized system has discontinuous coefficients and involves nonconservative products. We propose a direct approach of the problem which introduces measure solutions and gives a natural meaning to the nonconservative product. This approach leads to simple numerical schemes.

Keywords: Multi-dimensional conservation laws; Linear systems; Discontinuous coefficients; Product of a measure by a discontinuous function; Finite difference schemes (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:50:y:1999:i:1:p:77-95

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