Georgescu, A.; Dragomirescu, F.-I. Linear stability results in a magnetothermoconvection problem. (English) Zbl 1183.76736 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 17, No. 3, 119-129 (2009). 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 Keywords:magnetothermal convection; secular equation; linear stability limits PDFBibTeX XMLCite \textit{A. Georgescu} and \textit{F. I. Dragomirescu}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 17, No. 3, 119--129 (2009; Zbl 1183.76736) Full Text: EuDML