Qualitative properties of solutions to vorticity equation for a viscous incompressible fluid on a rotating sphere

2020 ◽  
Vol 71 (5) ◽  
Author(s):  
Yuri N. Skiba
Keyword(s):  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Vorticity Equation ◽  
Qualitative Properties ◽  
Rotating Sphere ◽  
Qualitative Properties Of Solutions

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.

Qualitative properties of solutions to set optimization problems

2021 ◽  
Vol 40 (2) ◽  
Author(s):  
Lam Quoc Anh ◽  
Nguyen Huu Danh ◽  
Pham Thanh Duoc ◽  
Tran Ngoc Tam
Keyword(s):  
Optimization Problems ◽  
Set Optimization ◽  
Qualitative Properties ◽  
Qualitative Properties Of Solutions

Old and New Results for First Order Periodic ODEs without Uniqueness: a Comprehensive Study by Lower and Upper Solutions

2004 ◽  
Vol 4 (3) ◽  
Author(s):  
Franco Obersnel ◽  
Pierpaolo Omari
Keyword(s):  
Cauchy Problem ◽  
Differential Equations ◽  
Lower And Upper Solutions ◽  
Elementary Approach ◽  
Qualitative Properties ◽  
First Order ◽  
The Past ◽  
The Cauchy Problem ◽  
Qualitative Properties Of Solutions ◽  
Comprehensive Study

AbstractAn elementary approach, based on a systematic use of lower and upper solutions, is employed to detect the qualitative properties of solutions of first order scalar periodic ordinary differential equations. This study is carried out in the Carathéodory setting, avoiding any uniqueness assumption, in the future or in the past, for the Cauchy problem. Various classical and recent results are recovered and generalized.

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

Slender-body theory for slow viscous flow

1976 ◽  
Vol 75 (4) ◽  
pp. 705-714 ◽  
Author(s):  
Joseph B. Keller ◽  
Sol I. Rubinow
Keyword(s):  
Integral Equation ◽  
Incompressible Fluid ◽  
Viscous Incompressible Fluid ◽  
Unit Length ◽  
The Body ◽  
Slender Body ◽  
Slow Flow ◽  
Slender Body Theory ◽  
Slow Viscous Flow ◽  
Body Theory

Slow flow of a viscous incompressible fluid past a slender body of circular crosssection is treated by the method of matched asymptotic expansions. The main result is an integral equation for the force per unit length exerted on the body by the fluid. The novelty is that the body is permitted to twist and dilate in addition to undergoing the translating, bending and stretching, which have been considered by others. The method of derivation is relatively simple, and the resulting integral equation does not involve the limiting processes which occur in the previous work.

Sign in / Sign up

Export Citation Format

Share Document