Space-Time Regularity for the Three Dimensional Navier-Stokes and MHD Equations

被引：0
|
作者：
Zhu, Weipeng [1 ]
Zhao, Jihong [2 ,3 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Baoji Univ Arts & Sci, Sch Math & Informat Sci, Baoji 721013, Shaanxi, Peoples R China
[3] Northwest A&F Univ, Coll Sci, Yangling 712100, Shaanxi, Peoples R China
来源：
ACTA APPLICANDAE MATHEMATICAE | 2019年 / 163卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Navier-Stokes equations; MHD equations; Space-time regularity; Large initial components; GLOBAL WELLPOSED PROBLEM; WEAK SOLUTIONS; WELL-POSEDNESS; L2; DECAY; BEHAVIOR; SYSTEM; NORMS; KOCH;
D O I：
10.1007/s10440-018-0218-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the space-time regularity of solutions to (1) the three dimensional incompressible Navier-Stokes equations for initial data u(0) = (u(0)(h), u(0)(3)) is an element of (B) over dot(p,r)(3/p-1) (R-3) with large initial vertical velocity component; and (2) the three dimensional incompressible magneto-hydrodynamic equations for initial datum u(0) = (u(0)(h), u(0)(3)) is an element of(B) over dot(p,r)(3/p-1)(R-3) with large initial vertical velocity component and b(0) = (b(0)(h), b(0)(3)) is an element of(B) over dot(p,r)(3/p-1)(R-3) with large initial vertical magnetic field component.
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页码：157 / 184
页数：28
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