On the Stability of the Standard Riemann Semigroup
Stefano Bianchini and Rinaldo M. Colombo
We consider the dependence of the entropic solution of a hyperbolic
system of conservation laws
u_t + f(u)_x = 0 \\
u(0,\cdot) = u_0
on the flux function $f$. We prove that the solution in Lipschitz
continuous w.r.t.~the $C^0$ 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.
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- Stefano Bianchini,
- Rinaldo M. Colombo,
- Publishing information:
- Submitted by:
September 7 2000.
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Last modified: Thu Sep 7 16:09:11 MET DST 2000