Nonlinear stationary magnetoconvection due to oblique magnetic field

Details Nonlinear stationary magnetoconvection due to oblique magnetic field Nonlinear stationary magnetoconvection due to oblique magnetic field

May 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994ap%26ss.215..197t&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 215, no. 2, p. 197-212

Astronomy and Astrophysics

Astronomy

Magnetic Disturbances, Magnetoactivity, Nonlinear Equations, Rayleigh-Benard Convection, Solar Convection (Astronomy), Solar Magnetic Field, Solar Physics, Sunspots, Time Dependence, Branching (Mathematics), Diffusivity, Landau-Ginzburg Equations, Penumbras

Scientific paper

We have derived nonlinear time-dependent two-dimentsional equation near the onset of stationary convection at supercritical Takens-Bogdanov bifurcation. We have obtained the analytical solution of the Landau-Ginzburg equation as well as solution of the nonlinear second-order ordinary differential equation which describes behaviour near the onset of stationary convection. These analytical solutions of two-dimensional Landau-Ginzburg equations correspond to isolated stationary defects.

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