The attracting stationary solutions of a regularized long-wave equation with positive and negative diffusion.
Abstract
A one-dimensional version of the equation governing the vortical flows in a rotating fluid layer heated from below is considered. On the one hand, this equation is a generalization of the regularized long-wave equation (RLW) and, on the other, of the Kuramoto-Sivashinsky equation. It is found numerically that the inclusion of terms with positive and negative diffusion in the RLW equation under periodic boundary conditions gives rise to the appearance of a discrete attracting set of stationary solutions differing in amplitude and spatial period. An arbitrary initial disturbance evolves to one of the stationary solutions obtained. The application of the results to Jupiter and to the Sun is discussed.
- Publication:
-
EPL (Europhysics Letters)
- Pub Date:
- March 1995
- DOI:
- 10.1209/0295-5075/29/7/006
- Bibcode:
- 1995EL.....29..543T
- Keywords:
-
- Disturbances: Jupiter Atmosphere;
- Disturbances: Solar Atmosphere;
- Disturbances: Rotating Fluids