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

共 22 条

[1] [Anonymous], 2004, Dyn. Partial Differ. Equ., DOI DOI 10.4310/DPDE.2004.V1.N4.A2
[2] Azanzal A., 2021, International Journal On Optimization and Applications, V1, P28
[3] Global well-posedness for Navier-Stokes equations in critical Fourier-Herz spaces
Cannone, Marco
Wu, Gang
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (09) : 3754 - 3760
[4] El Baraka A., 2017, Moroccan J. Pure and Appl. Anal., V3, P1
[5] EL Baraka A, 2017, ELECTRON J DIFFER EQ
[6] Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces
Ferreira, Lucas C. F.
Lima, Lidiane S. M.
[J]. MONATSHEFTE FUR MATHEMATIK, 2014, 175 (04): : 491 - 509
[7] Regularity of Solutions to the Navier-Stokes Equations Evolving from Small Data in BMO-1
Germain, Pierre
Pavlovic, Natasa
Stafflani, Gigliola
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2007, 2007
[8] NAVIER-STOKES FLOW IN R3 WITH MEASURES AS INITIAL VORTICITY AND MORREY SPACES
GIGA, Y
MIYAKAWA, T
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1989, 14 (05) : 577 - 618
[9] STRONG LP-SOLUTIONS OF THE NAVIER-STOKES EQUATION IN RM, WITH APPLICATIONS TO WEAK SOLUTIONS
KATO, T
[J]. MATHEMATISCHE ZEITSCHRIFT, 1984, 187 (04) : 471 - 480
[10] Kato T., 1992, Bol. Soc. Bras. Mat, V22, P127, DOI DOI 10.1007/BF01232939

← 1 2 3 →