The large-time behavior of the multi-dimensional hyperbolic-parabolic model arising from chemotaxis

被引：5

作者：

Xu, Fuyi ^{[1
]}

Li, Xinliang ^{[1
]}

Wang, Chengli ^{[2
]}

机构：

[1] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China

[2] China Inst Water Resources & Hydropower Res, Beijing 100038, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2019年 / 60卷 / 09期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

NAVIER-STOKES EQUATIONS; OPTIMAL CONVERGENCE-RATES; REACTION-DIFFUSION EQUATIONS; GLOBAL EXISTENCE; WELL-POSEDNESS; DECAY; SYSTEM; AGGREGATION; MOTION;

D O I：

10.1063/1.5120331

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The present paper is dedicated to the study of large-time behavior of global strong solutions to the initial value problem for the hyperbolic-parabolic system derived from chemotaxis models in any dimension d >= 2. Under a suitable additional decay assumption involving only the low frequencies of the data and in L-2-critical regularity framework, we exhibit the decay rates of strong solutions to the system for initial data close to a stable equilibrium state. The proof relies on a refined time-weighted energy functional in the Fourier space and the Littlewood-Paley decomposition technology. Published under license by AIP Publishing.

引用

页数：12

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