On sufficient conditions for global asymptotic stability of the barotropic fluid on a sphere
- 18 Downloads
Sufficient conditions are obtained for the global asymptotic stability of solutions to the vorticity equation for a forced barotropic viscous fluid on a rotating sphere. The Sundström's requirements to the smoothness of the basic solution are weakened here, which makes it possible to apply these conditions to a wider class of the solutions, for example, modons, having continuous derivatives up to the second order only.
Unable to display preview. Download preview PDF.
- Yu. N. Skiba:Mathematical Problems of the Dynamics of Viscous Barotropic Fluid on a Rotating Sphere (Department of Numerical Mathematics, USSR Academy of Sciences, Moscow, 1989), p. 170.Google Scholar
- A. Sundström:Mon. Weather Rev.,97, 340 (1969).Google Scholar
- E. C. Neven:Geophys. Astrophys. Fluid Dyn.,65, 105 (1992).Google Scholar
- Yu. N. Skiba:Atmosfera,6, 87 (1993).Google Scholar