An interpolation inequality involving L log L $L\log L$ spaces and application to the characterization of blow-up behavior in a two-dimensional Keller–Segel–Navier–Stokes system

IF 1.2 2区数学 Q1 MATHEMATICS Journal of the London Mathematical Society-Second Series Pub Date : 2024-03-10 DOI:10.1112/jlms.12885

Yulan Wang, Michael Winkler

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Abstract

In a smoothly bounded two-dimensional domain $Ω$ and for a given nondecreasing positive unbounded $ℓ \in C^{0} ([0, \infty))$ , for each $K > 0$ and $η > 0$ the inequality

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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

在平滑有界的二维域 Ω$\Omega$ 中，对于给定的非递减正无界 ℓ∈C0([0,∞))$ell\in C^0([0,\infty))$，对于每个 K>0$K>0$ 和 η>0$\eta >0$ 都有不等式

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.