L-type contraction for systems of conservation laws
نویسندگان
چکیده
The semi-group associated with the Cauchy problem for a scalar conservation law is known to be a contraction in L1. However it is not a contraction in Lp for any p > 1. Leger showed in [18] that for a convex flux, it is however a contraction in L2 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.
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تاریخ انتشار 2013