Stability of planar multifluid plasma equilibria by Arnold's method
Abstract
A method developed by Arnold to prove nonlinear stability of certain steady states for ideal incompressible flow in two dimensions is extended to the case of barotropic, compressible, multifluid plasmas. This extension is accomplished by constructing conserved functionals derived from degeneracy of Poisson brackets. The results are applied to planar shear flows of the plasma.
- Publication:
-
Presented at the Am. Math. Soc. Res. Conf. on Fluids and Plasmas
- Pub Date:
- 1983
- Bibcode:
- 1983ams..conf.....H
- Keywords:
-
- Incompressible Flow;
- Perturbation Theory;
- Plasma Dynamics;
- Stability;
- Estimates;
- Linear Equations;
- Poisson Ratio;
- Shear Flow;
- Steady State;
- Topology;
- Vorticity;
- Fluid Mechanics and Heat Transfer