摘要
本文考虑初始速度u0∈B^(·)^(1/2)_(2,1)且具有变黏性系数的3维非齐次不可压Navier-Stokes方程小初值情形下解的全局适定性.相比Abidi和Zhang(2015)的结果,这里去掉了∥μ(ρ_(0))-1∥_(L∞)的小性假设.
In this paper,we consider the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity when the initial velocity is sufficiently small in the critical Besov space B^(·)^(1/2)_(2,1).Compared with the previous result of Abidi and Zhang(2015),our research removes the smallness assumption on the viscosityμ(ρ_(0))−1 in terms of L^(∞)-norm.
作者
牛冬娟
王璐
Dongjuan Niu;Lu Wang
出处
《中国科学:数学》
CSCD
北大核心
2024年第8期1071-1104,共34页
Scientia Sinica:Mathematica
基金
国家自然科学基金(批准号:11931010)资助项目。