WELL-POSEDNESS AND ANALYTICITY FOR GENERALIZED NAVIER-STOKES EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES

被引：10

作者：

Azanzal, Achraf ^{[1
]}

Allalou, Chakir ^{[1
]}

Abbassi, Adil ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab LMACS, FST Beni Mellal, Beni Mellal, Morocco

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2021年 / 2021卷

关键词：

Analytic solution; Fourier-Besov-Morrey spaces; Generalized Navier-Stokes equations; Global well-posedness;

D O I：

10.23952/jnfa.2021.24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the Cauchy problem of the generalized Navier-Stokes equations in critical Fourier-Besov-Morrey spaces. By using the Fourier localization argument and the Littlewood Paley theory, we obtain global well-posedness results and prove the existence and uniqueness of analytic solutions with small initial data.

引用

页数：14

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