A note on sigular limits to hyperbolic systems
Abstract
In this note we consider two different singular limits to hyperbolic system of conservation laws, namely the standard backward schemes for non linear semigroups and the semidiscrete scheme. Under the assumption that the rarefaction curve of the corresponding hyperbolic system are straight lines, we prove the stability of the solution and the convergence to the perturbed system to the unique solution of the limit system for initial data with small total variation.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 September 2000
 arXiv:
 arXiv:math/0009012
 Bibcode:
 2000math......9012B
 Keywords:

 Analysis of PDEs;
 35L65
 EPrint:
 8 pages, 2 figures