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

IF 1 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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引用次数: 0

摘要

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$K&gt;0$ 和 η>0$\eta &gt;0$ 都有不等式
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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

In a smoothly bounded two-dimensional domain Ω $\Omega$ and for a given nondecreasing positive unbounded C 0 ( [ 0 , ) ) $\ell \in C^0([0,\infty))$ , for each K > 0 $K&gt;0$ and η > 0 $\eta &gt;0$ the inequality

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来源期刊
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.
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