Preprint 2004-049

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.


Paper:
Available as Postscript (264 Kbytes) or gzipped PostScript (112 Kbytes; uncompress using gunzip).
Author(s):
Camillo De Lellis, <delellis@math.unizh.ch>
Michael Westdickenberg, <mwest@iam.uni-bonn.de>
Publishing information:
Ann. Inst. Henry Poincare' Analise Non line'aire 20:1075--1085
Comments:
Submitted by:
<delellis@math.unizh.ch> October 12 2004.


[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | 2004 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>
Last modified: Wed Oct 13 09:08:09 MEST 2004