Recurrent motion of stochastic Navier–Stokes equations with Coriolis force

2021 ◽  
Author(s):  
Feng Chen
Keyword(s):  
Coriolis Force ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Recurrent Motion

scholarly journals Solutions of Navier-Stokes Equations with Coriolis Force in the Rotational Framework

2021 ◽  
Vol 31 (5) ◽  
pp. 54-57
Keyword(s):  
Coriolis Force ◽  
Existence And Uniqueness ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Mixed Norm ◽  
Uniqueness Of Solutions ◽  
Navier Stokes Equations ◽  
Interpolation Inequalities ◽  
Stokes Problems ◽  
Point Argument

In this article, for 0 ≤m<∞ and the index vectors q=(q_1,q_2 ,q_3 ),r=(r_1,r_2,r_3) where 1≤q_i≤∞,1<r_i<∞ and 1≤i≤3, we study new results of Navier-Stokes equations with Coriolis force in the rotational framework in mixed-norm Sobolev-Lorentz spaces H ̇^(m,r,q) (R^3), which are more general than the classical Sobolev spaces. We prove the existence and uniqueness of solutions to the Navier-Stokes equations (NSE) under Coriolis force in the spaces L^∞([0, T]; H ̇^(m,r,q) ) by using topological arguments, the fixed point argument and interpolation inequalities. We have achieved new results compared to previous research in the Navier-Stokes problems.

scholarly journals Uniform Local Solvability for the Navier-Stokes Equations with the Coriolis Force

2005 ◽  
Vol 12 (4) ◽  
pp. 381-394 ◽  
Author(s):  
Yoshikazu Giga ◽  
Katsuya Inui ◽  
Alex Mahalov ◽  
Shin'ya Matsui
Keyword(s):  
Coriolis Force ◽  
Stokes Equations ◽  
Local Solvability ◽  
Navier Stokes ◽  
Navier Stokes Equations
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