具有指数阻尼的三维Navier-Stokes方程Leray解的渐近研究

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0208

Mongi Blel, J. Benameur

{"title":"具有指数阻尼的三维Navier-Stokes方程Leray解的渐近研究","authors":"Mongi Blel, J. Benameur","doi":"10.1515/dema-2022-0208","DOIUrl":null,"url":null,"abstract":"Abstract We study the uniqueness, the continuity in L 2 {L}^{2} , and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a ( e b ∣ u ∣ 2 − 1 ) u a\\left({e}^{b| u{| }^{{\\bf{2}}}}-1)u , ( a , b > 0 a,b\\gt 0 ).","PeriodicalId":10995,"journal":{"name":"Demonstratio Mathematica","volume":null,"pages":null},"PeriodicalIF":2.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping\",\"authors\":\"Mongi Blel, J. Benameur\",\"doi\":\"10.1515/dema-2022-0208\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We study the uniqueness, the continuity in L 2 {L}^{2} , and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a ( e b ∣ u ∣ 2 − 1 ) u a\\\\left({e}^{b| u{| }^{{\\\\bf{2}}}}-1)u , ( a , b > 0 a,b\\\\gt 0 ).\",\"PeriodicalId\":10995,\"journal\":{\"name\":\"Demonstratio Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Demonstratio Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/dema-2022-0208\",\"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":"Demonstratio Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/dema-2022-0208","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

摘要我们研究了三维不可压缩Navier-Stokes方程Leray解的唯一性、在L2｛L｝^｛2｝中的连续性和大时间衰减，该方程具有非线性指数阻尼项a（e bÜuÜ2−1）u a \ left（｛e｝^｝b | u｛|｝^）u，（a，b＞0 a，b \ gt 0）。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Asymptotic study of Leray solution of 3D-Navier-Stokes equations with exponential damping

Abstract We study the uniqueness, the continuity in L 2 {L}^{2} , and the large time decay for the Leray solutions of the 3D incompressible Navier-Stokes equations with the nonlinear exponential damping term a ( e b ∣ u ∣ 2 − 1 ) u a\left({e}^{b| u{| }^{{\bf{2}}}}-1)u , ( a , b > 0 a,b\gt 0 ).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.