{"title":"欧拉-科里奥利方程线性衰减率的直接证明","authors":"Siqi Ren","doi":"10.1007/s10440-023-00621-2","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we give a direct proof of <span>\\(t^{-1}\\)</span> (optimal) linear decay rate for Euler-Coriolis equations in <span>\\(L^{\\infty }\\)</span> space-time. Our proof is based on a proper decomposition of the explicit solution and <span>\\(L^{\\infty }\\)</span> estimate for the kernels, which captures the dispersive mechanism.</p></div>","PeriodicalId":53132,"journal":{"name":"Acta Applicandae Mathematicae","volume":"188 1","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Direct Proof of Linear Decay Rate for Euler-Coriolis Equations\",\"authors\":\"Siqi Ren\",\"doi\":\"10.1007/s10440-023-00621-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we give a direct proof of <span>\\\\(t^{-1}\\\\)</span> (optimal) linear decay rate for Euler-Coriolis equations in <span>\\\\(L^{\\\\infty }\\\\)</span> space-time. Our proof is based on a proper decomposition of the explicit solution and <span>\\\\(L^{\\\\infty }\\\\)</span> estimate for the kernels, which captures the dispersive mechanism.</p></div>\",\"PeriodicalId\":53132,\"journal\":{\"name\":\"Acta Applicandae Mathematicae\",\"volume\":\"188 1\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-11-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Applicandae Mathematicae\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10440-023-00621-2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Applicandae Mathematicae","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10440-023-00621-2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
A Direct Proof of Linear Decay Rate for Euler-Coriolis Equations
In this paper, we give a direct proof of \(t^{-1}\) (optimal) linear decay rate for Euler-Coriolis equations in \(L^{\infty }\) space-time. Our proof is based on a proper decomposition of the explicit solution and \(L^{\infty }\) estimate for the kernels, which captures the dispersive mechanism.
期刊介绍：
Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods.
Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.
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