{"title":"具有部分粘性和阻尼的三维广义热带气候模型的全局平稳解","authors":"Hui Liu , Chengfeng Sun , Mei Li","doi":"10.1016/j.jmaa.2024.129007","DOIUrl":null,"url":null,"abstract":"<div><div>The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for <span><math><mi>α</mi><mo>≥</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> and <span><math><mi>β</mi><mo>≥</mo><mn>4</mn></math></span>. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>)</mo></math></span> <span><math><mo>(</mo><mi>s</mi><mo>></mo><mn>2</mn><mo>)</mo></math></span> for <span><math><mi>α</mi><mo>≥</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> and <span><math><mn>4</mn><mo>≤</mo><mi>β</mi><mo>≤</mo><mn>5</mn></math></span>.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"543 2","pages":"Article 129007"},"PeriodicalIF":1.2000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping\",\"authors\":\"Hui Liu , Chengfeng Sun , Mei Li\",\"doi\":\"10.1016/j.jmaa.2024.129007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for <span><math><mi>α</mi><mo>≥</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> and <span><math><mi>β</mi><mo>≥</mo><mn>4</mn></math></span>. Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mi>s</mi></mrow></msup><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>)</mo></math></span> <span><math><mo>(</mo><mi>s</mi><mo>></mo><mn>2</mn><mo>)</mo></math></span> for <span><math><mi>α</mi><mo>≥</mo><mfrac><mrow><mn>3</mn></mrow><mrow><mn>2</mn></mrow></mfrac></math></span> and <span><math><mn>4</mn><mo>≤</mo><mi>β</mi><mo>≤</mo><mn>5</mn></math></span>.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"543 2\",\"pages\":\"Article 129007\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Analysis and Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022247X24009296\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24009296","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Global smooth solution for the 3D generalized tropical climate model with partial viscosity and damping
The three-dimensional generalized tropical climate model with partial viscosity and damping is considered in this paper. Global well-posedness of solutions of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved for and . Global smooth solution of the three-dimensional generalized tropical climate model with partial viscosity and damping is proved in for and .
期刊介绍:
The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.
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