Self-similar Solutions of the Navier–Stokes Equations on Weak Weighted Lorentz Spaces

被引：0

作者：

Hong Liang LI

机构：

[1] DepartmentofMathematics,ZhejiangInternationalStudiesUniversity

来源：

ActaMathematicaSinica | 2015年 / 31卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In the present paper, we prove the existence of global solutions for the Navier–Stokes equations in Rnwhen the initial velocity belongs to the weighted weak Lorentz space Λn,∞(u) with a sufficiently small norm under certain restriction on the weight u. At the same time, self-similar solutions are induced if the initial velocity is, besides, a homogeneous function of degree-1. Also the uniqueness is discussed.

引用

页码：44 / 60

页数：17

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