THE ROLE OF THE CONVECTIVE MODES AND SHEARED VARIABLES IN THE HAMILTONIAN-DYNAMICS OF UNIFORM-SHEAR-FLOW PERTURBATIONS

Authors
NAZARENKO SV ZAKHAROV VE
Citation
Sv. Nazarenko et Ve. Zakharov, THE ROLE OF THE CONVECTIVE MODES AND SHEARED VARIABLES IN THE HAMILTONIAN-DYNAMICS OF UNIFORM-SHEAR-FLOW PERTURBATIONS, Physics letters. A, 191(5-6), 1994, pp. 403-408
Citations number
4
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
191
Issue
5-6
Year of publication
1994
Pages
403 - 408
Database
ISI
SICI code
0375-9601(1994)191:5-6<403:TROTCM>2.0.ZU;2-T
Abstract
The convective modes in shear flows are associated with the algebraic time evolution of perturbations. The sheared variables, corresponding to the amplitudes of the convective modes, are shown to diagonalize th e quadratic Hamiltonian.. In other words, the sheared variables are th e normal variables of the Hamilton equations, and the convective modes are the normal modes in the Hamiltonian dynamics.