On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations
In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being the buoyancy frequency. It is proved that for general initial data u0∈Hs with s>3, the life span of the classical solutions satisfies T>Cln N3/4.
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/5541403 |
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| _version_ | 1832561337054527488 |
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| author | Jiafa Xu Lishan Liu |
| author_facet | Jiafa Xu Lishan Liu |
| author_sort | Jiafa Xu |
| collection | DOAJ |
| description | In this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being the buoyancy frequency. It is proved that for general initial data u0∈Hs with s>3, the life span of the classical solutions satisfies T>Cln N3/4. |
| format | Article |
| id | doaj-art-0df00a63f3cd4a8c91104a88a6c0e0a3 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0df00a63f3cd4a8c91104a88a6c0e0a32025-02-03T01:25:09ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/55414035541403On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq EquationsJiafa Xu0Lishan Liu1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaIn this paper, we consider the Cauchy problem for the 2D inviscid Boussinesq equations with N being the buoyancy frequency. It is proved that for general initial data u0∈Hs with s>3, the life span of the classical solutions satisfies T>Cln N3/4.http://dx.doi.org/10.1155/2021/5541403 |
| spellingShingle | Jiafa Xu Lishan Liu On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations Journal of Mathematics |
| title | On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations |
| title_full | On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations |
| title_fullStr | On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations |
| title_full_unstemmed | On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations |
| title_short | On the Existence of Long-Time Classical Solutions for the 2D Inviscid Boussinesq Equations |
| title_sort | on the existence of long time classical solutions for the 2d inviscid boussinesq equations |
| url | http://dx.doi.org/10.1155/2021/5541403 |
| work_keys_str_mv | AT jiafaxu ontheexistenceoflongtimeclassicalsolutionsforthe2dinviscidboussinesqequations AT lishanliu ontheexistenceoflongtimeclassicalsolutionsforthe2dinviscidboussinesqequations |