On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates
This paper investigates the global stabilizing effects of the geometry of the domain at which the flow locates and of the geometric structure of the solution to the incompressible flows by studying the three-dimensional (3D) incompressible, viscosity, and diffusivity Boussinesq system in spherical c...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9121813 |
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| _version_ | 1849685627698675712 |
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| author | Yongxin Wang Fan Geng Shu Wang |
| author_facet | Yongxin Wang Fan Geng Shu Wang |
| author_sort | Yongxin Wang |
| collection | DOAJ |
| description | This paper investigates the global stabilizing effects of the geometry of the domain at which the flow locates and of the geometric structure of the solution to the incompressible flows by studying the three-dimensional (3D) incompressible, viscosity, and diffusivity Boussinesq system in spherical coordinates. We establish the global existence and uniqueness of the smooth solution to the Cauchy problem for a full 3D incompressible Boussinesq system in a class of variant spherical coordinates for a class of smooth large initial data. We also construct one class of nonempty bounded domains in the three-dimensional space ℝ3, in which the initial boundary value problem for the full 3D Boussinesq system in a class of variant spherical coordinates with a class of large smooth initial data with swirl has a unique global strong or smooth solution with exponential decay rate in time. |
| format | Article |
| id | doaj-art-c4476b87412d4ff78b81579356effb90 |
| institution | DOAJ |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c4476b87412d4ff78b81579356effb902025-08-20T03:23:03ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9121813On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical CoordinatesYongxin Wang0Fan Geng1Shu Wang2Department of Mathematics and Information ScienceSchool of Mathematics and Information SciencesSchool of Mathematics and Information SciencesThis paper investigates the global stabilizing effects of the geometry of the domain at which the flow locates and of the geometric structure of the solution to the incompressible flows by studying the three-dimensional (3D) incompressible, viscosity, and diffusivity Boussinesq system in spherical coordinates. We establish the global existence and uniqueness of the smooth solution to the Cauchy problem for a full 3D incompressible Boussinesq system in a class of variant spherical coordinates for a class of smooth large initial data. We also construct one class of nonempty bounded domains in the three-dimensional space ℝ3, in which the initial boundary value problem for the full 3D Boussinesq system in a class of variant spherical coordinates with a class of large smooth initial data with swirl has a unique global strong or smooth solution with exponential decay rate in time.http://dx.doi.org/10.1155/2022/9121813 |
| spellingShingle | Yongxin Wang Fan Geng Shu Wang On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates Journal of Function Spaces |
| title | On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates |
| title_full | On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates |
| title_fullStr | On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates |
| title_full_unstemmed | On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates |
| title_short | On the 3D Incompressible Boussinesq Equations in a Class of Variant Spherical Coordinates |
| title_sort | on the 3d incompressible boussinesq equations in a class of variant spherical coordinates |
| url | http://dx.doi.org/10.1155/2022/9121813 |
| work_keys_str_mv | AT yongxinwang onthe3dincompressibleboussinesqequationsinaclassofvariantsphericalcoordinates AT fangeng onthe3dincompressibleboussinesqequationsinaclassofvariantsphericalcoordinates AT shuwang onthe3dincompressibleboussinesqequationsinaclassofvariantsphericalcoordinates |