A note on regularity criterion for the 3D Boussinesq system with zero thermal conductivity

被引：17

作者：

Geng, Jinbo ^{[1
]}

Fan, Jishan ^{[2
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 01期

关键词：

Boussinesq system; Regularity criterion; Partial viscosity; PARTIAL VISCOSITY; EQUATIONS;

D O I：

10.1016/j.aml.2011.07.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we prove a regularity criterion u is an element of L(2/1+r) (0, T: (B) over dot(infinity,infinity)(r)) (-1 < r < 1, r not equal 0) for the 3D Boussinesq system with zero thermal conductivity. Here u is the velocity, (B) over dot(infinity,infinity)(-r) denotes the homogeneous Besov space. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：63 / 66

页数：4

共 50 条

[21] The regularity criterion of the weak solution to the 3D viscous Boussinesq equations in Besov spaces
Xiang, Zhaoyin
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (03) : 360 - 372
[22] A new approach for the regularity of weak solutions of the 3D Boussinesq system
Chamorro, Diego
Mindrila, Claudiu
[J]. NONLINEARITY, 2024, 37 (06)
[23] A logarithmic regularity criterion for the 3D generalized MHD system
Fan, Jishan
Li, Jinkai
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (18) : 5279 - 5283
[24] A note on the regularity criterion for 3D MHD equations in B∞,∞-1 space
Benbernou, Samia
Terbeche, Mekki
Ragusa, Maria Alessandra
Zhang, Zujin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 245 - 249
[25] A logarithmic regularity criterion for 3D Navier-Stokes system in a bounded domain
Fan, Jishan
Jia, Xuanji
Zhou, Yong
[J]. APPLICATIONS OF MATHEMATICS, 2019, 64 (04) : 397 - 407
[26] Stability on 3D Boussinesq system with mixed partial dissipation
Lin, Hongxia
Liu, Sen
Guo, Xiaochuan
You, Ruiqi
[J]. ADVANCES IN NONLINEAR ANALYSIS, 2024, 13 (01)
[27] Regularity criterion for the 3D Hall-magneto-hydrodynamics
Dai, Mimi
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 261 (01) : 573 - 591
[28] A refined long time asymptotic bound for 3D axially symmetric Boussinesq system with zero thermal diffusivity
Li, Zijin
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 374 : 737 - 760
[29] Regularity Results for Viscous 3D Boussinesq Temperature Fronts
Gancedo, Francisco
Garcia-Juarez, Eduardo
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2020, 376 (03) : 1705 - 1736
[30] THE 3D BOUSSINESQ EQUATIONS WITH REGULARITY IN THE HORIZONTAL COMPONENT OF THE VELOCITY
Liu, Qiao
[J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 57 (03) : 649 - 660

← 1 2 3 4 5 →