scholarly journals Equivalence between invariant measures and statistical solutions for the 2D non‐autonomous magneto‐micropolar fluid equations

2021 ◽  
Author(s):  
Yanjiao Li ◽  
Xiaojun Li
Keyword(s):  
Micropolar Fluid ◽  
Invariant Measures ◽  
Fluid Equations ◽  
Micropolar Fluid Equations ◽  
Statistical Solutions

scholarly journals Equivalence between invariant measures and statistical solutions for the 2D non-autonomous magneto-micropolar fluid equations

2021 ◽  
Author(s):  
Yanjiao Li ◽  
Xiaojun Li
Keyword(s):  
Invariant Measure ◽  
Micropolar Fluid ◽  
Invariant Measures ◽  
Pullback Attractor ◽  
Statistical Solution ◽  
Regularity Properties ◽  
Fluid Equations ◽  
Micropolar Fluid Equations ◽  
The Relationship ◽  
Statistical Solutions

In this article, we aim to investigate the regularity of statistical solution for the 2D non-autonomous magneto-micropolar fluid equations as well as the relationship between invariant measures and statistical solutions. Firstly, to get the regularity of the statistical solution, we prove the existence and regularity of the pullback attractor for the equations. Then we prove the statistical solution possesses some regularity properties by using regularity of the pullback attractor. Finally, we prove the statistical solution is actual an invariant measure for the equations.

Sign in / Sign up

Export Citation Format

Share Document