二维无导热可压缩Navier-Stokes方程的整体存在性和大时间行为

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2023-05-04 DOI:10.1155/2023/2986348

Shuofa Xiao, Haiyan Xu

{"title":"二维无导热可压缩Navier-Stokes方程的整体存在性和大时间行为","authors":"Shuofa Xiao, Haiyan Xu","doi":"10.1155/2023/2986348","DOIUrl":null,"url":null,"abstract":"In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <msup>\n <mrow>\n <mi>H</mi>\n </mrow>\n <mrow>\n <mn>2</mn>\n </mrow>\n </msup>\n </math>\n and its \n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <msup>\n <mrow>\n <mi>L</mi>\n </mrow>\n <mrow>\n <mn>1</mn>\n </mrow>\n </msup>\n </math>\n norm is bounded. Moreover, we derive some decay estimate for such a solution.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity\",\"authors\":\"Shuofa Xiao, Haiyan Xu\",\"doi\":\"10.1155/2023/2986348\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in \\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M1\\\">\\n <msup>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <mrow>\\n <mn>2</mn>\\n </mrow>\\n </msup>\\n </math>\\n and its \\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\">\\n <msup>\\n <mrow>\\n <mi>L</mi>\\n </mrow>\\n <mrow>\\n <mn>1</mn>\\n </mrow>\\n </msup>\\n </math>\\n norm is bounded. Moreover, we derive some decay estimate for such a solution.\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/2986348\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/2986348","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文研究无导热的二维可压缩Navier-Stokes方程的初值问题。我们证明了当初始扰动在h2及其L中很小时，一个强解的整体存在性一个范数是有界的。此外，我们还推导了这种解的一些衰减估计。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity

In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in

H^{2}

and its

L^{1}

norm is bounded. Moreover, we derive some decay estimate for such a solution.

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

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

期刊介绍： Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.