Invariant measures and statistical solutions for a nonautonomous nonlocal Swift-Hohenberg equation

2022 ◽  
pp. 1-0
Author(s):  
Xiujuan Wang ◽  
Jintao Wang ◽  
Chunqiu Li
Keyword(s):  
Invariant Measures ◽  
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.

scholarly journals Invariant measures and Statistical solutions of the globally modified Navier-Stokes equations

2008 ◽  
Vol 10 (4) ◽  
pp. 761-781 ◽  
Author(s):  
Tomás Caraballo ◽  
◽  
Peter E. Kloeden ◽  
José Real ◽  
◽  
...  
Keyword(s):  
Invariant Measures ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Statistical Solutions

Extending Quasi-Invariant Measures by Using Subgroups of a Given Group

2003 ◽  
Vol 10 (2) ◽  
pp. 247-255
Author(s):  
A. Kharazishvili
Keyword(s):  
Invariant Measures ◽  
Uncountable Group

Abstract A method of extending σ-finite quasi-invariant measures given on an uncountable group, by using a certain family of its subgroups, is investigated.

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