dc.contributor.author |
Razafimandimby, Paul Andre
|
|
dc.contributor.author |
Sango, Mamadou
|
|
dc.date.accessioned |
2012-06-05T08:41:08Z |
|
dc.date.available |
2012-06-05T08:41:08Z |
|
dc.date.issued |
2012-07 |
|
dc.description.abstract |
We investigate a stochastic evolution equation for the motion of a second grade
fluid filling a bounded domain of R2. Global existence and uniqueness of strong
probabilistic solution is established. In contrast to previous results on this model we
show that the sequence of Galerkin approximation converges in mean square to the
exact strong probabilistic solution of the problem. We also give two results on the
long time behaviour of the solution. Mainly we prove that the strong solution of our
stochastic model converges exponentially in mean square to the stationary solution
of the time-independent second grade fluids equations if the deterministic part of the
external force does not depend on time. If the deterministic forcing term explicitly
depends on time, then the strong probabilistic solution decays exponentially in mean
square. |
en |
dc.description.librarian |
nf2012 |
en |
dc.description.sponsorship |
University of Pretoria.National Research Foundation South Africa. National
Science Foundation grant no DMS-0635607. |
en_US |
dc.description.uri |
http://www.elsevier.com/locate/na |
en_US |
dc.identifier.citation |
Paul André Razafimandimby & Mamadou Sango, Strong solution for a stochastic model of two-dimensional second grade fluids : existence, uniqueness and asymptotic behavior, Nonlinear Analysis, Theory, Methods and Applications, vol. 75, no. 11, pp. 4251-4270 (2012), doi: 10.1016/j.na.2012.03.014 |
en |
dc.identifier.issn |
0362-546X (print) |
|
dc.identifier.issn |
1873-5215 (online) |
|
dc.identifier.other |
10.1016/j.na.2012.03.014 |
|
dc.identifier.uri |
http://hdl.handle.net/2263/19095 |
|
dc.language.iso |
en |
en_US |
dc.publisher |
Elsevier |
en_US |
dc.rights |
© 2012 Elsevier Ltd. All rights reserved. |
en_US |
dc.subject |
Second grade fluids |
en |
dc.subject |
Strong solution |
en |
dc.subject.lcsh |
Non-Newtonian fluids |
en |
dc.subject.lcsh |
Stochastic models |
en |
dc.title |
Strong solution for a stochastic model of two-dimensional second grade fluids : existence, uniqueness and asymptotic behavior |
en |
dc.type |
Postprint Article |
en |