On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence
We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish the exist...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/723236 |
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| _version_ | 1832552623154135040 |
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| author | Gabriel Deugoue Mamadou Sango |
| author_facet | Gabriel Deugoue Mamadou Sango |
| author_sort | Gabriel Deugoue |
| collection | DOAJ |
| description | We investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish the existence of a such of solution. We also discuss the uniqueness. |
| format | Article |
| id | doaj-art-2049de29b3c145458c209344635866a6 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2049de29b3c145458c209344635866a62025-02-03T05:58:11ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/723236723236On the Stochastic 3D Navier-Stokes-α Model of Fluids TurbulenceGabriel Deugoue0Mamadou Sango1Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, South AfricaDepartment of Mathematics and Applied Mathematics, University of Pretoria, Pretoria 002, South AfricaWe investigate the stochastic 3D Navier-Stokes-α model which arises in the modelling of turbulent flows of fluids. Our model contains nonlinear forcing terms which do not satisfy the Lipschitz conditions. The adequate notion of solutions is that of probabilistic weak solution. We establish the existence of a such of solution. We also discuss the uniqueness.http://dx.doi.org/10.1155/2009/723236 |
| spellingShingle | Gabriel Deugoue Mamadou Sango On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence Abstract and Applied Analysis |
| title | On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence |
| title_full | On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence |
| title_fullStr | On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence |
| title_full_unstemmed | On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence |
| title_short | On the Stochastic 3D Navier-Stokes-α Model of Fluids Turbulence |
| title_sort | on the stochastic 3d navier stokes α model of fluids turbulence |
| url | http://dx.doi.org/10.1155/2009/723236 |
| work_keys_str_mv | AT gabrieldeugoue onthestochastic3dnavierstokesamodeloffluidsturbulence AT mamadousango onthestochastic3dnavierstokesamodeloffluidsturbulence |