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Linear stability results in a magnetothermoconvection problem. (English) Zbl 1183.76736

Summary: An analytical study of the magnetothermoconvection problem where the exchange of stabilities holds and the dynamically free boundaries are thermally and electrically perfectly conducting is performed. The importance of the boundary conditions-independent part, hidden by the use of Fourier series methods, but made evident by the direct method based on the characteristic equation is shown. It is emphasized that the secular equation splitting provides a basis for extending the Chandrasekhar’s power law type results to a wider class of problems in linear stability of any continuum.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
74S25 Spectral and related methods applied to problems in solid mechanics
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