Well-posedness for the generalized Navier-Stokes-Landau-Lifshitz equations

被引：3
|
作者：
Liu, Hui [1 ]
Sun, Chengfeng [2 ]
Xin, Jie [3 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[2] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210023, Peoples R China
[3] Shandong Agr Univ, Coll Informat Sci & Engn, Tai An 271018, Shandong, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2021年 / 72卷 / 01期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Navier-Stokes-Landau-Lifshitz equations; Strong solutions; A priori estimates;
D O I：
10.1007/s00033-020-01467-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The generalized Navier-Stokes-Landau-Lifshitz equations are considered in this paper. The well-posedness for the multi-dimensional hyperviscous Navier-Stokes-Landau-Lifshitz equations is proved for n >= 3. The existence and uniqueness of the strong solutions for the generalized Navier-Stokes-Landau-Lifshitz equations are proved for 5/4 <= alpha < 5/2 and 5/4 <= and beta < 5/2.
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页数：10
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