scholarly journals Lie reduction and exact solutions of vorticity equation on rotating sphere

2012 ◽  
Vol 376 (14) ◽  
pp. 1179-1184 ◽  
Author(s):  
Alexander Bihlo ◽  
Roman O. Popovych
Keyword(s):  
Exact Solutions ◽  
Vorticity Equation ◽  
Rotating Sphere

scholarly journals Asymptotic behavior of solutions to barotropic vorticity equation on a sphere

2020 ◽  
Vol 5 (2) ◽  
pp. 229-238
Author(s):  
Yuri N. Skiba
Keyword(s):  
Asymptotic Behavior ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Sufficient Conditions ◽  
Vorticity Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Rotating Sphere ◽  
Bounded Set ◽  
Barotropic Vorticity Equation ◽  
Barotropic Vorticity

AbstractThe behavior of a viscous incompressible fluid on a rotating sphere is described by the nonlinear barotropic vorticity equation (BVE). Conditions for the existence of a bounded set that attracts all BVE solutions are given. In addition, sufficient conditions are obtained for a BVE solution to be a global attractor. It is shown that, in contrast to the stationary forcing, the dimension of the global BVE attractor under quasiperiodic forcing is not limited from above by the generalized Grashof number.

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