Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate
We will first prove the existence of - and -absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of -absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of - and -global...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/758730 |
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| _version_ | 1832563931196948480 |
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| author | Bo You Shan Ma |
| author_facet | Bo You Shan Ma |
| author_sort | Bo You |
| collection | DOAJ |
| description | We will first prove the existence of - and -absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of -absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of - and -global
attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in
log-pressure coordinate by using the Sobolev compactness embedding theory. |
| format | Article |
| id | doaj-art-9c8e28335cbc4cc087f3d4a59bba0754 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9c8e28335cbc4cc087f3d4a59bba07542025-02-03T01:12:10ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/758730758730Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure CoordinateBo You0Shan Ma1School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaSchool of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, ChinaWe will first prove the existence of - and -absorbing sets for the three-dimensional primitive equations of large-scale atmosphere in log-pressure coordinate and then prove the existence of -absorbing set by the use of the elliptic regularity theory. Finally, we obtain the existence of - and -global attractors for the three-dimensional viscous primitive equations of large-scale atmosphere in log-pressure coordinate by using the Sobolev compactness embedding theory.http://dx.doi.org/10.1155/2013/758730 |
| spellingShingle | Bo You Shan Ma Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate Abstract and Applied Analysis |
| title | Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate |
| title_full | Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate |
| title_fullStr | Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate |
| title_full_unstemmed | Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate |
| title_short | Global Attractors for the Three-Dimensional Viscous Primitive Equations of Large-Scale Atmosphere in Log-Pressure Coordinate |
| title_sort | global attractors for the three dimensional viscous primitive equations of large scale atmosphere in log pressure coordinate |
| url | http://dx.doi.org/10.1155/2013/758730 |
| work_keys_str_mv | AT boyou globalattractorsforthethreedimensionalviscousprimitiveequationsoflargescaleatmosphereinlogpressurecoordinate AT shanma globalattractorsforthethreedimensionalviscousprimitiveequationsoflargescaleatmosphereinlogpressurecoordinate |