The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations

S. V. Nazarenko; V. E. Zakharov

doi:10.1016/0375-9601(94)90794-3

The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations

S. V. Nazarenko, V. E. Zakharov

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 the quadratic Hamiltonian. In other words, the sheared variables are the normal variables of the Hamilton equations, and the convective modes are the normal modes in the Hamiltonian dynamics.

Original language	English (US)
Pages (from-to)	403-408
Number of pages	6
Journal	Physics Letters A
Volume	191
Issue number	5-6
DOIs	https://doi.org/10.1016/0375-9601(94)90794-3
State	Published - Aug 22 1994

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1016/0375-9601(94)90794-3

Cite this

@article{521e5f10df924a828b167ec7837ec88b,

title = "The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations",

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 the quadratic Hamiltonian. In other words, the sheared variables are the normal variables of the Hamilton equations, and the convective modes are the normal modes in the Hamiltonian dynamics.",

author = "Nazarenko, {S. V.} and Zakharov, {V. E.}",

year = "1994",

month = aug,

day = "22",

doi = "10.1016/0375-9601(94)90794-3",

language = "English (US)",

volume = "191",

pages = "403--408",

journal = "Physics Letters A",

issn = "0375-9601",

publisher = "Elsevier B.V.",

number = "5-6",

}

TY - JOUR

T1 - The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations

AU - Nazarenko, S. V.

AU - Zakharov, V. E.

PY - 1994/8/22

Y1 - 1994/8/22

N2 - 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 the quadratic Hamiltonian. In other words, the sheared variables are the normal variables of the Hamilton equations, and the convective modes are the normal modes in the Hamiltonian dynamics.

AB - 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 the quadratic Hamiltonian. In other words, the sheared variables are the normal variables of the Hamilton equations, and the convective modes are the normal modes in the Hamiltonian dynamics.

UR - http://www.scopus.com/inward/record.url?scp=43949156318&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=43949156318&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)90794-3

DO - 10.1016/0375-9601(94)90794-3

M3 - Article

AN - SCOPUS:43949156318

SN - 0375-9601

VL - 191

SP - 403

EP - 408

JO - Physics Letters A

JF - Physics Letters A

IS - 5-6

ER -

The role of the convective modes and sheared variables in the Hamiltonian dynamics of uniform-shear-flow perturbations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this