Istituto per le Applicazioni del Calcolo, Viale del Policlinico 137, 00161 Roma, Italy ; Department of Mathematics, University of Brescia, Via Valotti 9, 25133 Brescia, Italy
Abstract:
We consider the dependence of the entropic solution of a hyperbolic system of conservation laws
on the flux function . We prove that the solution is Lipschitz continuous w.r.t. the norm of the derivative of the perturbation of . We apply this result to prove the convergence of the solution of the relativistic Euler equation to the classical limit.