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MiS Preprint
108/2002
On the Optimality of Velocity Averaging Lemmas
Camillo De Lellis and Michael Westdickenberg
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.