On the Stability of the Standard Riemann Semigroup
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چکیده
We consider the dependence of the entropic solution of a hyperbolic system of conservation laws { ut + f(u)x = 0 u(0, ·) = u0 on the flux function f . We prove that the solution in Lipschitz continuous w.r.t. the C 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. Max-Planck-Institut für Mathematik in den Naturwissenschaften Preprint n◦44 2000
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تاریخ انتشار 2000