| Issue |
ESAIM: COCV
Volume 16, Number 4, October-December 2010
|
|
|---|---|---|
| Page(s) | 856 - 886 | |
| DOI | https://doi.org/10.1051/cocv/2009022 | |
| Published online | 31 July 2009 | |
Upper bounds for a class of energies containing a non-local term
Fachbereich Mathematik, Universität Duisburg-Essen, Lotharstrasse 65, 47057 Duisburg, Germany. arkady.poliakovsky@math.uzh.ch
Received:
11
July
2008
In this paper we construct upper bounds for families of functionals of the form
where Δ 
= div {
u}. Particular cases of such functionals arise in
Micromagnetics. We also use our technique to construct upper bounds
for functionals that appear in a variational formulation of
the method of vanishing viscosity for conservation laws.
Mathematics Subject Classification: 35A15 / 35J35 / 82D40
Key words: Gamma-convergence / micromagnetics / non-local energy
© EDP Sciences, SMAI, 2009
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.