On the spreading of characteristics for non-convex conservation laws
نویسنده
چکیده
We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the ° ux function has one point of in° ection. It is well known that in the convex case the characteristic speed satis ̄es a one-sided Lipschitz estimate. Using Dafermos’ theory of generalized characteristics, we show that the characteristic speed in the non-convex case satis ̄es an Holder estimate. In addition, we give a one-sided Lipschitz estimate with an error term given by the decrease of the total variation of the solution.
منابع مشابه
A Note on the Spreading of Characteristics for Nonconvex Conservation Laws
We study the spreading of characteristics for a class of one-dimensional scalar conservation laws for which the ux function has exactly one point of innection. It is well-known that the characteristic speed satisses a one-sided Lipschitz estimate in the convex case. Using Dafermos' theory of generalized characteristics 3] we show that the characteristic speed in the nonconvex case satisses a HH...
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تاریخ انتشار 2005