On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids
<p/> <p>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, an...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/932053 |
| _version_ | 1818364249104187392 |
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| author | Razafimandimby PA |
| author_facet | Razafimandimby PA |
| author_sort | Razafimandimby PA |
| collection | DOAJ |
| description | <p/> <p>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.</p> |
| first_indexed | 2024-12-13T22:01:22Z |
| format | Article |
| id | doaj.art-dc09ac3225bc44bb83ec8af1b911a12b |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-13T22:01:22Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-dc09ac3225bc44bb83ec8af1b911a12b2022-12-21T23:30:00ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101932053On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic FluidsRazafimandimby PA<p/> <p>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.</p>http://www.journalofinequalitiesandapplications.com/content/2010/932053 |
| spellingShingle | Razafimandimby PA On Stochastic Models Describing the Motions of Randomly Forced Linear Viscoelastic Fluids Journal of Inequalities and Applications |
| title | 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_short | 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 |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/932053 |
| work_keys_str_mv | AT razafimandimbypa onstochasticmodelsdescribingthemotionsofrandomlyforcedlinearviscoelasticfluids |