scholarly journals Global Regularity Results of the 2D Boussinesq Equations with Fractional Laplacian Dissipation

2016 ◽  
Vol 18 (2) ◽  
pp. 361-380 ◽  
Author(s):  
Zhuan Ye ◽  
Xiaojing Xu
Keyword(s):  
Fractional Laplacian ◽  
Global Regularity ◽  
Boussinesq Equations ◽  
2D Boussinesq Equations ◽  
Regularity Results

scholarly journals Global regularity results for the 2D Boussinesq equations with partial dissipation

2016 ◽  
Vol 260 (2) ◽  
pp. 1893-1917 ◽  
Author(s):  
Dhanapati Adhikari ◽  
Chongsheng Cao ◽  
Haifeng Shang ◽  
Jiahong Wu ◽  
Xiaojing Xu ◽  
...  
Keyword(s):  
Global Regularity ◽  
Boussinesq Equations ◽  
Partial Dissipation ◽  
2D Boussinesq Equations ◽  
Regularity Results

Finite-Dimensionality and Determining Modes of the Global Attractor for 2D Boussinesq Equations with Fractional Laplacian

2018 ◽  
Vol 18 (3) ◽  
pp. 501-515 ◽  
Author(s):  
Aimin Huang ◽  
Wenru Huo ◽  
Michael Jolly
Keyword(s):  
Global Attractor ◽  
Fractional Laplacian ◽  
Boussinesq Equations ◽  
Boussinesq System ◽  
Periodic Domain ◽  
Subcritical Case ◽  
Determining Modes ◽  
2D Boussinesq Equations ◽  
Finite Dimensionality

AbstractWe prove the finite dimensionality of the global attractor and estimate the numbers of the determining modes for the 2D Boussinesq system in a periodic domain with fractional Laplacian in the subcritical case.

Sign in / Sign up

Export Citation Format

Share Document