Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗
The well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2ℝ3 norm on three-dimensional tropical climate model wit...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3945178 |
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| _version_ | 1832563436690604032 |
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| author | Hui Zhang Juan Xu |
| author_facet | Hui Zhang Juan Xu |
| author_sort | Hui Zhang |
| collection | DOAJ |
| description | The well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2ℝ3 norm on three-dimensional tropical climate model with viscosities by derive a blow-up criterion combine with energy estimates. This result can be regard as a generalization of the famous Fujita–Kato result to 3D Navier–Stokes equations. |
| format | Article |
| id | doaj-art-6ed1b9b227bc41708e2f86a30d574eab |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-6ed1b9b227bc41708e2f86a30d574eab2025-02-03T01:20:17ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/3945178Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗Hui Zhang0Juan Xu1College of Mathematical and Physical SciencesCollege of Mathematical and Physical SciencesThe well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2ℝ3 norm on three-dimensional tropical climate model with viscosities by derive a blow-up criterion combine with energy estimates. This result can be regard as a generalization of the famous Fujita–Kato result to 3D Navier–Stokes equations.http://dx.doi.org/10.1155/2022/3945178 |
| spellingShingle | Hui Zhang Juan Xu Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ Journal of Mathematics |
| title | Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ |
| title_full | Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ |
| title_fullStr | Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ |
| title_full_unstemmed | Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ |
| title_short | Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ |
| title_sort | global existence for the 3d tropical climate model with small initial data in h˙1 2r3∗ |
| url | http://dx.doi.org/10.1155/2022/3945178 |
| work_keys_str_mv | AT huizhang globalexistenceforthe3dtropicalclimatemodelwithsmallinitialdatainh12r3 AT juanxu globalexistenceforthe3dtropicalclimatemodelwithsmallinitialdatainh12r3 |