Currently displaying 1 – 1 of 1

Showing per page

Order by Relevance | Title | Year of publication

L 2 -type contraction for systems of conservation laws

Denis SerreAlexis F. Vasseur — 2014

Journal de l’École polytechnique — Mathématiques

The semi-group associated with the Cauchy problem for a scalar conservation law is known to be a contraction in L 1 . However it is not a contraction in L p for any p > 1 . Leger showed in [] that for a convex flux, it is however a contraction in L 2 up to a suitable shift. We investigate in this paper whether such a contraction may happen for systems. The method is based on the relative entropy method. Our general analysis leads us to the new geometrical notion of systems. We treat in details two examples:...

Page 1

Download Results (CSV)