Nonlinear stability theory for a rotating gravitating disk

Journal Article · Thu Mar 01 04:00:00 EST 1979 · Sov. Astron. AJ (Engl. Transl.); (United States)

OSTI ID:5873130

Mikhailovskii, A B; Petviashvili, V I; Fridman, A M

A nonlinear differential equation is derived for waves of small but finite amplitude propagated through the plane of a rotating, gravitating, gaseous disk. Depending on the equation of state and the character of the waves, this equation either may describe a ''breakup'' instability or may have a stationary soliton-type solution. The solitons may be either supersonic or subsonic, again depending on the equation of state. Supersonic solitons can develop and be propagated only for a disk that is weakly Jeans-unstable, while subsonic solitons can be propagated only in a Jeans-stable disk. Breakup instability can grow both in a stable disk and against a background of Jeans instability.

• Research Organization: Institute of Terrestrial Magnetism, the Ionosphere, and Radio-Wave Propagation, Siberian Branch, Academy of Sciences of the USSR, Irkutsk
• OSTI ID: 5873130
• Journal Information: Sov. Astron. AJ (Engl. Transl.); (United States), Journal Name: Sov. Astron. AJ (Engl. Transl.); (United States) Vol. 23:2; ISSN SAAJA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EQUATIONS OF STATE
GRAVITATION
NONLINEAR PROBLEMS
QUASI PARTICLES
SOLITONS
STABILITY
WAVE PROPAGATION