On the Stability of the Standard Riemann Semigroup
Stefano Bianchini and Rinaldo M. Colombo
Contact the author: Please use for correspondence this email.
Submission date: 11. Jul. 2000
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
Download full preprint: PDF (374 kB), PS ziped (165 kB)
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.