Ill-Posedness Issue on a Multidimensional Chemotaxis Equations in the Critical Besov Spaces

被引：4

作者：

Li, Jinlu ^{[1
]}

Yu, Yanghai ^{[2
]}

Zhu, Weipeng ^{[3
]}

机构：

[1] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China

[2] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Peoples R China

[3] Foshan Univ, Sch Math & Big Data, Foshan 528000, Guangdong, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Multidimensional chemotaxis equations; Ill-posedness; Besov spaces; NAVIER-STOKES EQUATIONS; HYPERBOLIC-PARABOLIC SYSTEM; GLOBAL WELL-POSEDNESS; NONLINEAR DIFFUSION; WEAK SOLUTIONS; MODEL; STABILIZATION; BOUNDEDNESS; STABILITY; EXISTENCE;

D O I：

10.1007/s12220-022-01140-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we aim to solving the open question left in [Nie, Yuan: Nonlinear Anal 196 (2020); J. Math. Anal. Appl 505 (2022) and Xiao, Fei: J. Math. Anal. Appl 514 (2022)]. We prove that a multidimensional chemotaxis system is ill-posedness in B-2d(-3/2), r x ( ?B-2d(-1/2), r) d when 1 <= r < d due to the lack of continuity of the solution.

引用

页数：22

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