Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media
This study investigates the global well-posedness of a coupled Navier–Stokes–Darcy model incorporating the Beavers–Joseph–Saffman–Jones interface boundary condition in two-dimensional Euclidean space. We establish the existence of global strong solutions for the system in both linear and nonlinear c...
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| Language: | English |
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AIMS Press
2024-10-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024262 |
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| author | Linlin Tan Bianru Cheng |
| author_facet | Linlin Tan Bianru Cheng |
| author_sort | Linlin Tan |
| collection | DOAJ |
| description | This study investigates the global well-posedness of a coupled Navier–Stokes–Darcy model incorporating the Beavers–Joseph–Saffman–Jones interface boundary condition in two-dimensional Euclidean space. We establish the existence of global strong solutions for the system in both linear and nonlinear cases where porosity depends on pressure. When dealing with the time-dependent porous media, the primary challenge in obtaining closed prior estimates arises from the presence of complex, sharp interfaces. To address this issue, we employ the classical Trace Theorem. Such space-time variable coupled systems are crucial for understanding underground fluid flow. |
| format | Article |
| id | doaj-art-99b5390b8a8d44b1b28e8034a2294c82 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-99b5390b8a8d44b1b28e8034a2294c822025-01-23T07:52:53ZengAIMS PressElectronic Research Archive2688-15942024-10-0132105649568110.3934/era.2024262Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity mediaLinlin Tan0Bianru Cheng1School of Mathematics and Center for Nonlinear Studies, Northwest University, Xi'an 710127, ChinaSchool of Mathematics and Center for Nonlinear Studies, Northwest University, Xi'an 710127, ChinaThis study investigates the global well-posedness of a coupled Navier–Stokes–Darcy model incorporating the Beavers–Joseph–Saffman–Jones interface boundary condition in two-dimensional Euclidean space. We establish the existence of global strong solutions for the system in both linear and nonlinear cases where porosity depends on pressure. When dealing with the time-dependent porous media, the primary challenge in obtaining closed prior estimates arises from the presence of complex, sharp interfaces. To address this issue, we employ the classical Trace Theorem. Such space-time variable coupled systems are crucial for understanding underground fluid flow.https://www.aimspress.com/article/doi/10.3934/era.2024262global well-posednessnavier–stokes–darcy modelbeavers–joseph–saffman–jones interface boundary conditiontime-dependent porosity media |
| spellingShingle | Linlin Tan Bianru Cheng Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media Electronic Research Archive global well-posedness navier–stokes–darcy model beavers–joseph–saffman–jones interface boundary condition time-dependent porosity media |
| title | Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media |
| title_full | Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media |
| title_fullStr | Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media |
| title_full_unstemmed | Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media |
| title_short | Global well-posedness of 2D incompressible Navier–Stokes–Darcy flow in a type of generalized time-dependent porosity media |
| title_sort | global well posedness of 2d incompressible navier stokes darcy flow in a type of generalized time dependent porosity media |
| topic | global well-posedness navier–stokes–darcy model beavers–joseph–saffman–jones interface boundary condition time-dependent porosity media |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024262 |
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