Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay
We consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force depending on the velocity of fluid on a bounded domai...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/721673 |
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| _version_ | 1832552634776551424 |
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| author | Yantao Guo Shuilin Cheng Yanbin Tang |
| author_facet | Yantao Guo Shuilin Cheng Yanbin Tang |
| author_sort | Yantao Guo |
| collection | DOAJ |
| description | We consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force depending on the velocity of fluid on a bounded domain. By a prior estimate and a contractive function, we give a sufficient condition for the existence of pullback attractor of NSV equation. |
| format | Article |
| id | doaj-art-4709fe3169204274a12f5b8e85a63900 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4709fe3169204274a12f5b8e85a639002025-02-03T05:58:12ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/721673721673Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed DelayYantao Guo0Shuilin Cheng1Yanbin Tang2School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaSchool of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, Hubei 430073, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, ChinaWe consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force depending on the velocity of fluid on a bounded domain. By a prior estimate and a contractive function, we give a sufficient condition for the existence of pullback attractor of NSV equation.http://dx.doi.org/10.1155/2015/721673 |
| spellingShingle | Yantao Guo Shuilin Cheng Yanbin Tang Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay Discrete Dynamics in Nature and Society |
| title | Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay |
| title_full | Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay |
| title_fullStr | Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay |
| title_full_unstemmed | Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay |
| title_short | Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay |
| title_sort | approximate kelvin voigt fluid driven by an external force depending on velocity with distributed delay |
| url | http://dx.doi.org/10.1155/2015/721673 |
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