Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field

Details Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.158...67c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 158, no. 1, Aug. 1989, p. 67-88.

Astronomy and Astrophysics

Astrophysics

4

Gravitation Theory, Magnetic Effects, Systems Stability, Cylinders, Fluid Filled Shells, Monochromatic Radiation, Nonlinear Equations, Partial Differential Equations, Schroedinger Equation

Scientific paper

The effect of a uniform axial magnetic field on the nonlinear instability of a self-gravitating infinite cylinder is examined. Using the method of multiple scales, it is found that while the nonlinear (modulational) instability cannot be completely suppressed, the presence of a magnetic field does increase the range of stable wave numbers. The evolution of the amplitude is governed by a nonlinear Schroedinger equation which gives the criterion for modulational instability.

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