Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids

Andrey A. Gelash; Vladimir E. Zakharov

Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids

Andrey A. Gelash, Vladimir E. Zakharov

Mathematics

Research output: Contribution to conference › Paper › peer-review

Abstract

We present the Hamiltonian description of incompressible rotating fluid by using the Clebsch variables. We find the transformation which allows us to present the three-wave interaction Hamiltonian in normal variables in simple explicit form. We analyze the three-wave interaction amplitude and find new anisotropic spectra. Finally we study the convergence of integrals and present the kinetic equation.

Original language	English (US)
State	Published - 2015
Event	15th European Turbulence Conference, ETC 2015 - Delf, Netherlands Duration: Aug 25 2015 → Aug 28 2015

Conference

Conference	15th European Turbulence Conference, ETC 2015
Country/Territory	Netherlands
City	Delf
Period	8/25/15 → 8/28/15

ASJC Scopus subject areas

Atmospheric Science
Geophysics
Astronomy and Astrophysics
Acoustics and Ultrasonics

Cite this

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title = "Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids",

abstract = "We present the Hamiltonian description of incompressible rotating fluid by using the Clebsch variables. We find the transformation which allows us to present the three-wave interaction Hamiltonian in normal variables in simple explicit form. We analyze the three-wave interaction amplitude and find new anisotropic spectra. Finally we study the convergence of integrals and present the kinetic equation.",

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T1 - Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids

AU - Gelash, Andrey A.

AU - Zakharov, Vladimir E.

PY - 2015

Y1 - 2015

N2 - We present the Hamiltonian description of incompressible rotating fluid by using the Clebsch variables. We find the transformation which allows us to present the three-wave interaction Hamiltonian in normal variables in simple explicit form. We analyze the three-wave interaction amplitude and find new anisotropic spectra. Finally we study the convergence of integrals and present the kinetic equation.

AB - We present the Hamiltonian description of incompressible rotating fluid by using the Clebsch variables. We find the transformation which allows us to present the three-wave interaction Hamiltonian in normal variables in simple explicit form. We analyze the three-wave interaction amplitude and find new anisotropic spectra. Finally we study the convergence of integrals and present the kinetic equation.

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UR - http://www.scopus.com/inward/citedby.url?scp=85085777083&partnerID=8YFLogxK

M3 - Paper

T2 - 15th European Turbulence Conference, ETC 2015

Y2 - 25 August 2015 through 28 August 2015

ER -

Hamiltonian formalism for weak turbulence of inertial waves in rotating fluids

Abstract

Conference

ASJC Scopus subject areas

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