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On the stability of the standard Riemann semigroup
Author(s):
Stefano
Bianchini;
Rinaldo
M.
Colombo
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1961-1973.
MSC (2000):
Primary 35L65, 76N10
Posted:
February 27, 2002
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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.
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Additional Information:
Stefano
Bianchini
Affiliation:
Istituto per le Applicazioni del Calcolo, Viale del Policlinico 137, 00161 Roma, Italy
Email:
bianchin@iac.rm.cnr.it
Rinaldo
M.
Colombo
Affiliation:
Department of Mathematics, University of Brescia, Via Valotti 9, 25133 Brescia, Italy
Email:
rinaldo@ing.unibs.it
DOI:
10.1090/S0002-9939-02-06568-1
PII:
S 0002-9939(02)06568-1
Keywords:
Hyperbolic systems,
conservation laws,
well posedness
Received by editor(s):
July 1, 2000
Posted:
February 27, 2002
Additional Notes:
We thank Alberto Bressan for useful discussions.
Communicated by:
Suncica Canic
Copyright of article:
Copyright
2002,
American Mathematical Society
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