Global solutions to the 3D compressible Navier-Stokes equations with a class of special initial data

被引：0
|
作者：
Yu, Yanghai [1 ]
Wang, Hui [1 ]
Li, Jinlu [2 ]
Yang, Xiaolei [3 ]
机构：
[1] Anhui Normal Univ, Sch Math & Stat, Wuhu 241002, Anhui, Peoples R China
[2] Gannan Normal Univ, Sch Math & Comp Sci, Ganzhou 341000, Peoples R China
[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 64卷 / 02期
基金：
中国国家自然科学基金;
关键词：
MULTIDIMENSIONAL FLOWS; WELL-POSEDNESS; EXISTENCE; SYSTEM;
D O I：
10.1063/5.0086787
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we consider the Cauchy problem of tri-dimensional compressible Navier-Stokes equations and construct global smooth solutions by choosing a class of new special initial velocity and density whose B?(-s)(2,infinity)- norm can be arbitrarily large and improve the previous result in Li et al. [J. Math. Fluid Mech. 24, 22 (2022)]. Our main idea is splitting the linearized equations from the compressible Navier-Stokes equations and exploring the damping effect of the linearized system.
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页数：16
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