Nonlinear stationary magnetoconvection due to oblique magnetic field
The author studies stationary magnetoconvection in penumbral region of sunspot due to oblique magnetic field in the \(x - z\) plane making an angle with the vertical. The Landau-Ginzburg equation describing the effect of oblique magnetic field on Rayleigh-Bénard convection near the onset of stationary convection at supercritical cusp bifurcation is analytically solved. Also, analytical solutions are given for a nonlinear second-order ordinary differential equation describing behaviour near the onset of stationary convection. The paper is presented in a clear form and should be of interest to researchers engaged in the theoretical Spects of magnetohydrodynamic instabilities. Nothing is mentioned about interpretation and presentation of the results in plots.
scientific article; zbMATH DE number 696858