UNIQUENESS OF WEAK SOLUTIONS TO THE BOUSSINESQ EQUATIONS WITH FRACTIONAL DISSIPATION

被引：0

作者：

Ji, Ruihong ^{[1
]}

Li, Dan ^{[2
]}

Wu, Jiahong ^{[3
]}

机构：

[1] Chengdu Univ Technol, Geomath Key Lab Sichuan Prov, Chengdu 610059, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China

[3] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2023年 / 21卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Boussinesq equations; Littlewood-Paley; weak solution; uniqueness; GLOBAL WELL-POSEDNESS; MHD EQUATIONS; REGULARITY; MODELS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper examines the existence and uniqueness of weak solutions to the dsion (- increment )beta . The aim is at the uniqueness of weak solutions in the weakest possible inhomogeneous Besov spaces. We establish the local existence and uniqueness in the functional setting composing the bilinear term into different frequencies, we are able to obtain a suitable upper bound on the bilinear term, which allows us to close the estimates in the aforementioned Besov spaces.

引用

页码：1531 / 1548

页数：18

共 50 条

[21] Global weak solutions and regularity for two-dimensional Boussinesq equations with partial dissipation and thermal diffusivity
Cheng, Jianfeng
Li, Shan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 428 (02) : 794 - 803
[22] Large time decay of solutions to the Boussinesq system with fractional dissipation
Yang, Jiaqi
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 453 (01) : 607 - 619
[23] Partially regular weak solutions to the fractional Navier-Stokes equations with the critical dissipation
Yang, Jiaqi
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (11)
[24] On the Regularity of Weak Solutions of the Boussinesq Equations in Besov Spaces
Barbagallo, Annamaria
Gala, Sadek
Ragusa, Maria Alessandra
Thera, Michel
VIETNAM JOURNAL OF MATHEMATICS, 2021, 49 (03) : 637 - 649
[25] On the Suitable Weak Solutions to the Boussinesq Equations in a Bounded Domain
郭柏灵
袁光伟
数学进展, 1994, (05)
[26] Uniqueness of solutions to weak parabolic equations for measures
Bogachev, V. I.
Da Prato, G.
Roeckner, M.
Stannat, W.
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2007, 39 : 631 - 640
[27] Suitable weak solutions for the Cauchy problem of the Boussinesq equations
Boling, Guo
Guangwei, Yuan
Nonlinear Analysis, Theory, Methods & Applications, 1996, 26 (08):
[28] On the Regularity of Weak Solutions of the Boussinesq Equations in Besov Spaces
Annamaria Barbagallo
Sadek Gala
Maria Alessandra Ragusa
Michel Théra
Vietnam Journal of Mathematics, 2021, 49 : 637 - 649
[29] On the Suitable Weak Solutions to the Boussinesq Equations in a Bounded Domain
Guo Boling Yuan Guangwei Guo Boling Yuan Guangwei Institute of Applied Physics and Computational Mathematics Beijing
Acta Mathematica Sinica,English Series, 1996, (02) : 205 - 216
[30] On　the　Suitable　Weak　Solutions　for　the　Cauchy　Problem　of　the　Boussinesq　Equations
郭柏灵，袁光伟
数学进展, 1994, (04) : 381 - 383

← 1 2 3 4 5 →