TitleOn the optimality of velocity averaging lemmas.
Publication TypeJournal Article
Year of Publication2003
AuthorsDe Lellis C., Westdickenberg M.
JournalAnnales de l'Institut Henri Poincaré (C) Analyse Non Linéaire
Volume20
Pagination1075–1085
PublisherElsevier
Type of Articlescalar
ISSN0294-1449
KeywordsKinetic equations, Regularity, Velocity averaging
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.

Notes

Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), no. 6, 1075–1085.

URLhttps://www.sciencedirect.com/science/article/pii/S0294144903000246
DOI10.1016/S0294-1449(03)00024-6
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