Nonlinear stability conditions and priori estimates for barotropic hydrodynamics

Holm, D. D., J. E. Marsden, T. Ratiu and A. Weinstein

Phys. Lett. A, 98, (1983), 15-21

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 barotropic compressible case. The results are applied to plane shear flow.