On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids
This paper is devoted to the analysis of stochastic equations describing the motions of a large class of incompressible linear viscoelastic fluids in two-dimensional subject to periodic boundary condition and driven by random external forces. To do so we distinguish two cases, and for each case a gl...
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2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2010/932053 |
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doaj-de05a8535f624734959fecdd5b8358972020-11-24T21:17:07ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-01201010.1155/2010/932053On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic FluidsP. A. RazafimandimbyThis paper is devoted to the analysis of stochastic equations describing the motions of a large class of incompressible linear viscoelastic fluids in two-dimensional subject to periodic boundary condition and driven by random external forces. To do so we distinguish two cases, and for each case a global existence result of probabilistic weak solution is expounded in this paper. We also prove that under suitable hypotheses on the external random forces the solution turns out to be unique. As concrete examples, we consider the stochastic equations for the Maxwell and Oldroyd fluids that are of great importance in the investigation towards the understanding of the elastic turbulence. http://dx.doi.org/10.1155/2010/932053 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
P. A. Razafimandimby |
| spellingShingle |
P. A. Razafimandimby On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids Journal of Inequalities and Applications |
| author_facet |
P. A. Razafimandimby |
| author_sort |
P. A. Razafimandimby |
| title |
On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids |
| title_short |
On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids |
| title_full |
On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids |
| title_fullStr |
On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids |
| title_full_unstemmed |
On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids |
| title_sort |
on stochastic models describing the motions of randomly forced linear viscoelastic fluids |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2010-01-01 |
| description |
This paper is devoted to the analysis of stochastic equations describing the motions of a large class of incompressible linear viscoelastic fluids in two-dimensional subject to periodic boundary condition and driven by random external forces. To do so we distinguish two cases, and for each case a global existence result of probabilistic weak solution is expounded in this paper. We also prove that under suitable hypotheses on the external random forces the solution turns out to be unique. As concrete examples, we consider the stochastic equations for the Maxwell and Oldroyd fluids that are of great importance in the investigation towards the understanding of the elastic turbulence. |
| url |
http://dx.doi.org/10.1155/2010/932053 |
| work_keys_str_mv |
AT parazafimandimby onstochasticmodelsdescribingthemotionsofrandomlyforcedlinearviscoelasticfluids |
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1726014167051141120 |