CONTINUOUS DEPENDENCE IN L(2) FOR DISCONTINUOUS SOLUTIONS OF THE VISCOUS P-SYSTEM

Authors
HOFF D ZARNOWSKI R
Citation
D. Hoff et R. Zarnowski, CONTINUOUS DEPENDENCE IN L(2) FOR DISCONTINUOUS SOLUTIONS OF THE VISCOUS P-SYSTEM, Annales de l Institut Henri Poincare. Analyse non lineaire, 11(2), 1994, pp. 159-187
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
11
Issue
2
Year of publication
1994
Pages
159 - 187
Database
ISI
SICI code
0294-1449(1994)11:2<159:CDILFD>2.0.ZU;2-3
Abstract
We prove that discontinuous solutions of the Navier-Stokes equations f or isentropic or isothermal flow depend continuously on their initial data in L2. This improves earlier results in which continuous dependen ce was known only in a much stronger norm, a norm inappropriately stro ng for the physical model. We also apply our continuous dependence the ory to obtain improved rates of convergence for certain finite differe nce approximations.