Preprint 2000036
On the Stability of the Standard Riemann Semigroup
Stefano Bianchini and Rinaldo M. Colombo
Abstract:
We consider the dependence of the entropic solution of a hyperbolic
system of conservation laws
\[
\left\{ \begin{array}{c}
u_t + f(u)_x = 0 \\
u(0,\cdot) = u_0
\end{array} \right.
\]
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.
 Paper:
 Available as PostScript (238 Kbytes) or
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using gunzip).
 Author(s):
 Stefano Bianchini,
<bianchin@sissa.it>
 Rinaldo M. Colombo,
<rinaldo@ing.unibs.it>
 Publishing information:

 Comments:

 Submitted by:

<bianchin@sissa.it>
September 7 2000.
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