Nonlinear evolution of non-axisymmetric dynamical instability in a slender accretion torus.

Details Nonlinear evolution of non-axisymmetric dynamical instability in a slender accretion torus. Nonlinear evolution of non-axisymmetric dynamical instability in a slender accretion torus.

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994sccha..37...99w&link_type=abstract

Science in China, Series A, Vol. 37, No. 1, p. 99 - 111

Computer Science

Accretion Disks: Instabilities

Scientific paper

The nonlinear evolution of non-axisymmetric dynamical instability is interpreted here within the framework of soliton theory. The dispersion relation of a two-dimensional slender accretion torus in the long wavelength incompressible limit is similar to that of the linearized KdV (Kortweg de Vries) equation. It is argued that the "planet-like" solutions of nonlinear dynamical instability in the numerical simulations should be the soliton solutions of KdV equation. The authors also find that the vorticity of accretion disk is a non-conservation quantity due to the variation of density and entropy in the nonlinear evolution of dynamical instability. This is the cause of the redistribution on angular momentum during the instability.

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