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On the optimality of velocity averaging lemmas


De Lellis, C; Westdickenberg, M (2003). On the optimality of velocity averaging lemmas. Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 20(6):1075-1085.

Abstract

tudying 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.

tudying 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.

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12 citations in Web of Science®
10 citations in Scopus®
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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:Kinetic equations; Velocity averaging; Regularity
Language:English
Date:2003
Deposited On:29 Nov 2010 16:26
Last Modified:05 Apr 2016 13:25
Publisher:Elsevier
ISSN:0294-1449
Free access at:Related URL. An embargo period may apply.
Publisher DOI:https://doi.org/10.1016/S0294-1449(03)00024-6
Related URLs:http://www.numdam.org/item?id=AIHPC_2003__20_6_1075_0

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