dc.contributor.author |
Razafimandimby, Paul Andre
|
|
dc.contributor.author |
Woukeng, Jean Louis
|
|
dc.date.accessioned |
2014-05-12T08:26:37Z |
|
dc.date.available |
2014-05-12T08:26:37Z |
|
dc.date.issued |
2013 |
|
dc.description.abstract |
In this article, we show that the concept of sigma-convergence associated to
stochastic processes can tackle the homogenization of stochastic partial differential
equations. In this regard, the homogenization of a stochastic nonlinear partial
differential equation is addressed. Using some deep compactness results such as
the Prokhorov and Skorokhod theorems, we prove that the sequence of solutions of
this problem converges in probability towards the solution of an equation of the
same type. To proceed with, we use the concept of sigma-convergence for stochastic
processes, which takes into account both the deterministic and random behaviours
of the solutions of the problem. |
en_US |
dc.description.librarian |
hb2014 |
en_US |
dc.description.uri |
http://www.tandfonline.com/loi/lsaa20 |
en_US |
dc.identifier.citation |
Paul André Razafimandimby & Jean Louis Woukeng (2013) Homogenization of Nonlinear Stochastic Partial Differential Equations in a General Ergodic Environment, Stochastic Analysis and Applications, 31:5, 755-784, DOI: 10.1080/07362994.2013.817237 |
en_US |
dc.identifier.issn |
0736-2994 (print) |
|
dc.identifier.issn |
1532-9356 (online) |
|
dc.identifier.issn |
10.1080/07362994.2013.817237 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/39757 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Taylor & Francis |
en_US |
dc.rights |
© Taylor & Francis Group, LLC.This is an electronic version of an article published in Stochastic Analysis and Applications, vol. 31, no. 5, pp. 755-784, 2013. doi : 10.1080/07362994.2013.817237 Stochastic Analysis and Applications is available online at : http://www.tandfonline.com/loi/lsaa20 |
en_US |
dc.subject |
Algebras with mean value |
en_US |
dc.subject |
Stochastic homogenization |
en_US |
dc.subject |
Stochastic partial differential equations |
en_US |
dc.subject |
Wiener process |
en_US |
dc.title |
Homogenization of nonlinear stochastic partial differential equations in a general ergodic environment |
en_US |
dc.type |
Postprint Article |
en_US |