On the Optimality of Velocity Averaging Lemmas

Camillo De Lellis and Michael Westdickenberg

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Submission date: 12. Dec. 2002
Pages: 12
published in: Annales de l'Institut Henri Poincaré / C, 20 (2003) 6, p. 1075-1085 
DOI number (of the published article): 10.1016/S0294-1449(03)00024-6
Bibtex
MSC-Numbers: 35L65, 35L67, 46E35, 35B40
Keywords and phrases: velocity averaging, conservation laws, ginzburg--landau
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Abstract:
Studying weak solutions of Burgers' equation with finite entropy dissipation we show the sharpness of recent results of Jabin and Perthame on velocity averaging. Similar arguments give bounds on the regularity of asymptotic finite--energy states for some variational problems of Ginzburg--Landau type.