Weak turbulence in a self-gravitating gaseous disk. I. Regular three-wave processes

Journal Article · Sun Mar 01 04:00:00 EST 1981 · Sov. Astron. (Engl. Transl.); (United States)

OSTI ID:5756765

Churilov, S M; Shukham, I G

Three-wave interactions of Jeans-type waves in the gaseous disk of a galaxy are analyzed. The characteristic scale of the waves considered exceeds the thickness of the disk. Hamiltonian formalism is employed to derive equations describing the wave interaction. Conditions for decay are established and the growth rate of the decay (breakup) instability is calculated. Solutions are obtained in the form of stationary triplets of interacting waves. These results will serve as a basis for an analysis (Paper II) of weak turbulence in the ''gas'' of interacting waves.

• Research Organization: Institute of Terrestrial Magnetism, the Ionosphere, and Radio-Wave Propagation, Siberian Branch, USSR Academy of Sciences, Irkutsk
• OSTI ID: 5756765
• Journal Information: Sov. Astron. (Engl. Transl.); (United States), Journal Name: Sov. Astron. (Engl. Transl.); (United States) Vol. 25:2; ISSN SAAJA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
640410 -- Fluid Physics-- General Fluid Dynamics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
AMPLITUDES
DECAY AMPLITUDES
DIFFERENTIAL EQUATIONS
EQUATIONS
GALAXIES
HAMILTONIANS
INSTABILITY GROWTH RATES
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MOTION
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM OPERATORS
ROTATION
TRANSITION AMPLITUDES
TURBULENCE
WAVE EQUATIONS
WAVE PROPAGATION