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{"title":"涉及 LlogL 空间的插值不等式及其在二维 Keller-Segel-Navier-Stokes 系统炸毁行为特征描述中的应用","authors":"Yulan Wang, Michael Winkler","doi":"10.1112/jlms.12885","DOIUrl":null,"url":null,"abstract":"<p>In a smoothly bounded two-dimensional domain <math>\n <semantics>\n <mi>Ω</mi>\n <annotation>$\\Omega$</annotation>\n </semantics></math> and for a given nondecreasing positive unbounded <math>\n <semantics>\n <mrow>\n <mi>ℓ</mi>\n <mo>∈</mo>\n <msup>\n <mi>C</mi>\n <mn>0</mn>\n </msup>\n <mrow>\n <mo>(</mo>\n <mrow>\n <mo>[</mo>\n <mn>0</mn>\n <mo>,</mo>\n <mi>∞</mi>\n <mo>)</mo>\n </mrow>\n <mo>)</mo>\n </mrow>\n </mrow>\n <annotation>$\\ell \\in C^0([0,\\infty))$</annotation>\n </semantics></math>, for each <math>\n <semantics>\n <mrow>\n <mi>K</mi>\n <mo>></mo>\n <mn>0</mn>\n </mrow>\n <annotation>$K&gt;0$</annotation>\n </semantics></math> and <math>\n <semantics>\n <mrow>\n <mi>η</mi>\n <mo>></mo>\n <mn>0</mn>\n </mrow>\n <annotation>$\\eta &gt;0$</annotation>\n </semantics></math> the inequality\n\n </p>","PeriodicalId":49989,"journal":{"name":"Journal of the London Mathematical Society-Second Series","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2024-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.12885","citationCount":"0","resultStr":"{\"title\":\"An interpolation inequality involving \\n \\n \\n L\\n log\\n L\\n \\n $L\\\\log L$\\n spaces and application to the characterization of blow-up behavior in a two-dimensional Keller–Segel–Navier–Stokes system\",\"authors\":\"Yulan Wang, Michael Winkler\",\"doi\":\"10.1112/jlms.12885\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In a smoothly bounded two-dimensional domain <math>\\n <semantics>\\n <mi>Ω</mi>\\n <annotation>$\\\\Omega$</annotation>\\n </semantics></math> and for a given nondecreasing positive unbounded <math>\\n <semantics>\\n <mrow>\\n <mi>ℓ</mi>\\n <mo>∈</mo>\\n <msup>\\n <mi>C</mi>\\n <mn>0</mn>\\n </msup>\\n <mrow>\\n <mo>(</mo>\\n <mrow>\\n <mo>[</mo>\\n <mn>0</mn>\\n <mo>,</mo>\\n <mi>∞</mi>\\n <mo>)</mo>\\n </mrow>\\n <mo>)</mo>\\n </mrow>\\n </mrow>\\n <annotation>$\\\\ell \\\\in C^0([0,\\\\infty))$</annotation>\\n </semantics></math>, for each <math>\\n <semantics>\\n <mrow>\\n <mi>K</mi>\\n <mo>></mo>\\n <mn>0</mn>\\n </mrow>\\n <annotation>$K&gt;0$</annotation>\\n </semantics></math> and <math>\\n <semantics>\\n <mrow>\\n <mi>η</mi>\\n <mo>></mo>\\n <mn>0</mn>\\n </mrow>\\n <annotation>$\\\\eta &gt;0$</annotation>\\n </semantics></math> the inequality\\n\\n </p>\",\"PeriodicalId\":49989,\"journal\":{\"name\":\"Journal of the London Mathematical Society-Second Series\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-03-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1112/jlms.12885\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the London Mathematical Society-Second Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/jlms.12885\",\"RegionNum\":2,\"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 the London Mathematical Society-Second Series","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/jlms.12885","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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