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MiS Preprint

On the Optimality of Velocity Averaging Lemmas

Camillo De Lellis and Michael Westdickenberg


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.

MSC Codes:
35L65, 35L67, 46E35, 35B40
velocity averaging, conservation laws, ginzburg--landau

Related publications

2003 Repository Open Access
Michael Westdickenberg and Camillo De Lellis

On the Optimality of Velocity Averaging Lemmas

In: Annales de l'Institut Henri Poincaré / C, 20 (2003) 6, pp. 1075-1085