关于具有密度相关粘度的三维非均质不可压缩纳维-斯托克斯方程的全局好拟性

SCIENTIA SINICA Mathematica Pub Date : 2024-01-01 DOI:10.1360/SCM-2023-0384

Dongjuan Niu, Lu Wang

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引用次数: 0

摘要

本文关注在临界贝索夫空间$\dot{B}^{\frac 12}$中，当初速度足够小时，具有密度相关粘性的三维非均质不可压缩纳维-斯托克斯方程的全局良好拟性。与Abidi和Zhang（《中国科学-数学》58 (6) (2015) 1129-1150）之前的结果相比，我们在$L^{\infty}$-norm中取消了粘度$\mu(\rho_0)-1$的小性假设。

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On the global well-posedness of 3D inhomogeneous incompressible Navier-Stokes equations with density-dependent viscosity

In this paper, we are concerned with 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 $\dot{B}^{\frac 12}$. Compared with the previous result of Abidi and Zhang (Science China Mathematics 58 (6) (2015) 1129-1150), we remove the smallness assumption of the viscosity $\mu(\rho_0)-1$ in $L^{\infty}$-norm.

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SCIENTIA SINICA Mathematica

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