ANALYSIS AND APPROXIMATION OF CONSERVATIO N-LAWS WITH SOURCE-TERM

Authors
GREENBERG JM LEROUX AY BARAILLE R NOUSSAIR A
Citation
Jm. Greenberg et al., ANALYSIS AND APPROXIMATION OF CONSERVATIO N-LAWS WITH SOURCE-TERM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(8), 1995, pp. 1073-1076
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
8
Year of publication
1995
Pages
1073 - 1076
Database
ISI
SICI code
0764-4442(1995)321:8<1073:AAAOCN>2.0.ZU;2-5
Abstract
We consider a quasi linear conservation law with an even convex flux: function and a given bounded piecewise smooth source term depending on the space variable. We first characterize the solution of the Riemann problem through a new Lax formula. Then we prove that the associated semi group is an L(1) contraction and obtain an existence theorem for weak solutions. We conclude by corresponding Godunov type difference s chemes and prove that these schemes are L(infinity) stable and preserv e stable steady solutions.