Algebra Properties in Fourier-Besov Spaces and Their Applications
We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/3629179 |
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| _version_ | 1832561844597817344 |
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| author | Xuhuan Zhou Weiliang Xiao |
| author_facet | Xuhuan Zhou Weiliang Xiao |
| author_sort | Xuhuan Zhou |
| collection | DOAJ |
| description | We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we give a blow-up criterion of the solutions in Fourier-Besov spaces as well as a space analyticity of Gevrey regularity. |
| format | Article |
| id | doaj-art-5f27f64e67bb4604a0760bd285045dbb |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5f27f64e67bb4604a0760bd285045dbb2025-02-03T01:24:04ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/36291793629179Algebra Properties in Fourier-Besov Spaces and Their ApplicationsXuhuan Zhou0Weiliang Xiao1Department of Information Technology, Nanjing Forest Police College, Nanjing 210023, ChinaSchool of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210023, ChinaWe estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we give a blow-up criterion of the solutions in Fourier-Besov spaces as well as a space analyticity of Gevrey regularity.http://dx.doi.org/10.1155/2018/3629179 |
| spellingShingle | Xuhuan Zhou Weiliang Xiao Algebra Properties in Fourier-Besov Spaces and Their Applications Journal of Function Spaces |
| title | Algebra Properties in Fourier-Besov Spaces and Their Applications |
| title_full | Algebra Properties in Fourier-Besov Spaces and Their Applications |
| title_fullStr | Algebra Properties in Fourier-Besov Spaces and Their Applications |
| title_full_unstemmed | Algebra Properties in Fourier-Besov Spaces and Their Applications |
| title_short | Algebra Properties in Fourier-Besov Spaces and Their Applications |
| title_sort | algebra properties in fourier besov spaces and their applications |
| url | http://dx.doi.org/10.1155/2018/3629179 |
| work_keys_str_mv | AT xuhuanzhou algebrapropertiesinfourierbesovspacesandtheirapplications AT weiliangxiao algebrapropertiesinfourierbesovspacesandtheirapplications |