时间相关流及其在抛物-抛物型patak - keller - segel系统中的应用。第一部分：交替流

IF 1.6 2区数学 Q1 MATHEMATICS Journal of Functional Analysis Pub Date : 2025-03-01 Epub Date: 2024-12-06 DOI:10.1016/j.jfa.2024.110786

Siming He

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引用次数: 0

摘要

考虑受环境流影响的三维抛物-抛物型patak - keller - segel方程（PKS）。在不考虑周围流体流动的情况下，该方程具有三维超临界性质，具有任意小l1质量的有限时间爆破解。在这项研究中，我们证明了受Tarek Elgindi[39]的聪明想法启发的一组时间相关的交替剪切流可以抑制这些系统中的趋化性爆炸。

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Time-dependent flows and their applications in parabolic-parabolic Patlak-Keller-Segel systems Part I: Alternating flows

We consider the three-dimensional parabolic-parabolic Patlak-Keller-Segel equations (PKS) subject to ambient flows. Without the ambient fluid flow, the equation is super-critical in three-dimension and has finite-time blow-up solutions with arbitrarily small

L^{1}

-mass. In this study, we show that a family of time-dependent alternating shear flows, inspired by the clever ideas of Tarek Elgindi [39], can suppress the chemotactic blow-up in these systems.

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来源期刊

Journal of Functional Analysis 数学-数学

CiteScore

3.20

自引率

5.90%

发文量

271

审稿时长

7.5 months

期刊介绍： The Journal of Functional Analysis presents original research papers in all scientific disciplines in which modern functional analysis plays a basic role. Articles by scientists in a variety of interdisciplinary areas are published. Research Areas Include: • Significant applications of functional analysis, including those to other areas of mathematics • New developments in functional analysis • Contributions to important problems in and challenges to functional analysis

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