dc.contributor.advisor |
Li, Y. Charles |
|
dc.contributor.author |
Sango, Mamadou
|
|
dc.contributor.author |
Woukeng, Jean Louis
|
|
dc.date.accessioned |
2012-02-08T06:16:52Z |
|
dc.date.available |
2012-02-08T06:16:52Z |
|
dc.date.issued |
2011 |
|
dc.description.abstract |
Motivated by the fact that in nature almost all phenomena behave
randomly in some scales and deterministically in some other scales, we
build up a framework suitable to tackle both deterministic and stochastic homogenization
problems simultaneously, and also separately. Our approach,
the stochastic ∑-convergence, can be seen either as a multiscale stochastic approach
since deterministic homogenization theory can be seen as a special case
of stochastic homogenization theory (see Theorem 3), or as a conjunction of
the stochastic and deterministic approaches, both taken globally, but also each
separately. One of the main applications of our results is the homogenization
of a model of rotating fluids. |
en |
dc.description.librarian |
nf2012 |
en |
dc.description.sponsorship |
The authors acknowledge the support of the National
Research Foundation of South Africa through a ”focus area” grant. |
en_US |
dc.description.uri |
http://www.intlpress.com/DPDE/ |
en_US |
dc.identifier.citation |
Sango, M & Woukeng, JL 2011, 'Stochastic ∑-convergence and applications', Dynamics of Partial Differential Equations, vol. 8, no. 4, pp. 261-310. |
en |
dc.identifier.issn |
1548-159X |
|
dc.identifier.uri |
http://hdl.handle.net/2263/18044 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
International Press |
en_US |
dc.rights |
© 2011 International Press |
en |
dc.subject |
Dynamical systems |
en |
dc.subject |
Stochastic ∑-convergence |
en |
dc.subject.lcsh |
Homogenization (Differential equations) |
en |
dc.subject.lcsh |
Stokes equations |
en |
dc.title |
Stochastic ∑-convergence and applications |
en |
dc.type |
Article |
en |