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 50 条

[41] Well-posedness of the compressible Navier–Stokes–Poisson system in the critical Besov spaces
Noboru Chikami
Takayoshi Ogawa
Journal of Evolution Equations, 2017, 17 : 717 - 747
[42] Well-posedness for the Navier-Stokes equations in critical mixed-norm Lebesgue spaces
Tuoc Phan
JOURNAL OF EVOLUTION EQUATIONS, 2020, 20 (02) : 553 - 576
[43] Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
REVISTA MATEMATICA IBEROAMERICANA, 2010, 26 (03) : 915 - 946
[44] 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
[45] WELL-POSEDNESS OF THE HYDROSTATIC NAVIER-STOKES EQUATIONS
Gerard-Varet, David
Masmoudi, Nader
Vicol, Vlad
ANALYSIS & PDE, 2020, 13 (05): : 1417 - 1455
[46] Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type
Iwabuchi, Tsukasa
Takada, Ryo
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (05) : 1321 - 1337
[47] On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
Chen, Qionglei
Miao, Changxing
Zhang, Zhifei
REVISTA MATEMATICA IBEROAMERICANA, 2015, 31 (04) : 1375 - 1402
[48] Global well-posedness for the incompressible Navier-Stokes equations in the critical Besov space under the Lagrangian coordinates
Ogawa, Takayoshi
Shimizu, Senjo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 274 : 613 - 651
[49] WELL-POSEDNESS OF SOLUTIONS FOR THE 2D STOCHASTIC QUASI-GEOSTROPHIC EQUATION IN CRITICAL FOURIER-BESOV-MORREY SPACES
Khaider, Hassan
Azanzal, Achraf
Raji, Abderrahmane
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (74)
[50] Well-posedness in critical spaces for the system of compressible Navier-Stokes in larger spaces
Haspot, Boris
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (08) : 2262 - 2295

← 1 2 3 4 5 →