On the well-posedness of the incompressible flow in porous media
© 2016 International Scientific Research Publications. All rights reserved.In this paper, we are concerned with the two-dimensional (2D) incompressible flow in porous media (IPM) in the whole space. We prove the local well-posedness of the solutions for the system in Besov spaces of weak type and ob...
| Main Authors: | , |
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| Format: | Journal Article |
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Shomal University
2016
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| Online Access: | http://hdl.handle.net/20.500.11937/63001 |
| _version_ | 1848760967488339968 |
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| author | Xu, F. Liu, Lishan |
| author_facet | Xu, F. Liu, Lishan |
| author_sort | Xu, F. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2016 International Scientific Research Publications. All rights reserved.In this paper, we are concerned with the two-dimensional (2D) incompressible flow in porous media (IPM) in the whole space. We prove the local well-posedness of the solutions for the system in Besov spaces of weak type and obtain blow-up criterion of solutions by particle trajectory method and Fourier localization method. |
| first_indexed | 2025-11-14T10:24:11Z |
| format | Journal Article |
| id | curtin-20.500.11937-63001 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T10:24:11Z |
| publishDate | 2016 |
| publisher | Shomal University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-630012018-02-06T06:14:43Z On the well-posedness of the incompressible flow in porous media Xu, F. Liu, Lishan © 2016 International Scientific Research Publications. All rights reserved.In this paper, we are concerned with the two-dimensional (2D) incompressible flow in porous media (IPM) in the whole space. We prove the local well-posedness of the solutions for the system in Besov spaces of weak type and obtain blow-up criterion of solutions by particle trajectory method and Fourier localization method. 2016 Journal Article http://hdl.handle.net/20.500.11937/63001 Shomal University restricted |
| spellingShingle | Xu, F. Liu, Lishan On the well-posedness of the incompressible flow in porous media |
| title | On the well-posedness of the incompressible flow in porous media |
| title_full | On the well-posedness of the incompressible flow in porous media |
| title_fullStr | On the well-posedness of the incompressible flow in porous media |
| title_full_unstemmed | On the well-posedness of the incompressible flow in porous media |
| title_short | On the well-posedness of the incompressible flow in porous media |
| title_sort | on the well-posedness of the incompressible flow in porous media |
| url | http://hdl.handle.net/20.500.11937/63001 |