GLOBAL WELL-POSEDNESS FOR FRACTIONAL NAVIER-STOKES EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV-MORREY SPACES

被引：11

作者：

Abidin, Muhammad Zainul ^{[1
]}

Chen, Jiecheng ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Coll Math & Comp Sci, Jinhua 321004, Zhejiang, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2021年 / 41卷 / 01期

关键词：

fractional Navier-Stokes equations; global well-posedness; Fourier-Besov-Morrey space; ILL-POSEDNESS; REGULARITY; SYSTEM;

D O I：

10.1007/s10473-021-0109-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the Cauchy problem of the incompressible fractional Navier-Stokes equations in critical variable exponent Fourier-Besov-Morrey space F.N-p(center dot),h(center dot),q(s(.))(R-3) with s(center dot) = 4 - 2 alpha - 3/p(center dot). We prove global well-posedness result with small initial data belonging to F.N-p(center dot),h(center dot),(4-2 alpha-3/p(.)) (R-3). The result of this paper extends some recent work.

引用

页码：164 / 176

页数：13

共 50 条

[1] Global well-posedness for fractional Navier-Stokes equations in variable exponent Fourier-Besov-Morrey spaces
Muhammad Zainul Abidin
Jiecheng Chen
Acta Mathematica Scientia, 2021, 41 : 164 - 176
[2] GLOBAL WELL-POSEDNESS FOR FRACTIONAL NAVIER-STOKES EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV-MORREY SPACES
Muhammad Zainul ABIDIN
陈杰诚
Acta Mathematica Scientia, 2021, 41 (01) : 164 - 176
[3] Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier-Besov-Morrey Spaces
Muhammad Zainul Abidin
Jie Cheng Chen
Acta Mathematica Sinica, English Series, 2022, 38 : 2187 - 2198
[4] WELL-POSEDNESS AND ANALYTICITY FOR GENERALIZED NAVIER-STOKES EQUATIONS IN CRITICAL FOURIER-BESOV-MORREY SPACES
Azanzal, Achraf
Allalou, Chakir
Abbassi, Adil
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2021, 2021
[5] Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier-Besov-Morrey Spaces
Abidin, Muhammad Zainul
Chen, Jie Cheng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (12) : 2187 - 2198
[6] Global well-posedness for the 3D rotating fractional Boussinesq equations in Fourier-Besov-Morrey spaces with variable exponent
El Idrissi, Ahmed
El Boukari, Brahim
El Ghordaf, Jalila
FILOMAT, 2024, 38 (21) : 7597 - 7608
[7] Global well-posedness of the incompressible fractional Navier-Stokes equations in Fourier-Besov spaces with variable exponents
Ru, Shaolei
Abidin, Muhammad Zainul
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (04) : 1082 - 1090
[8] Analyticity for the Fractional Navier-Stokes Equations in Critical Fourier-Besov-Morrey Spaces with Variable Exponents
Ouidirne, Fatima
Allalou, Chakir
Oukessou, Mohamed
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42
[9] Global Well-posedness of Generalized Magnetohydrodynamics Equations in Variable Exponent Fourier–Besov–Morrey Spaces
Muhammad Zainul ABIDIN
Jie Cheng CHEN
ActaMathematicaSinica,EnglishSeries, 2022, (12) : 2187 - 2198
[10] Global Well-Posedness and Analyticity of Generalized Porous Medium Equation in Fourier-Besov-Morrey Spaces with Variable Exponent
Abidin, Muhammad Zainul
Chen, Jiecheng
MATHEMATICS, 2021, 9 (05) : 1 - 13

← 1 2 3 4 5 →