On the Stability of the Standard Riemann Semigroup

Stefano Bianchini and Rinaldo M. Colombo

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Submission date: 11. Jul. 2000
Pages: 13
published in: Proceedings of the American Mathematical Society, 130 (2002) 7, p. 1961-1973 
DOI number (of the published article): 10.1090/S0002-9939-02-06568-1
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Abstract:
We consider the dependence of the entropic solution of a hyperbolic system of conservation laws

on the flux function f. We prove that the solution in Lipschitz continuous w.r.t. the norm of the derivative of the perturbation of f. We apply this result to prove the convergence of the solution of the relativistic Euler equation to the classical limit.