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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

Received:
Dec 12, 2002
Published:
Dec 12, 2002
MSC Codes:
35L65, 35L67, 46E35, 35B40
Keywords:
velocity averaging, conservation laws, ginzburg--landau

Related publications

inJournal
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