An explosive instability in magnetic fluids

Malik, S. K.; Singh, M.

doi:10.1090/qam/1193659

Authors: S. K. Malik and M. Singh
Journal: Quart. Appl. Math. 50 (1992), 613-626
MSC: Primary 76E25; Secondary 76W05
DOI: https://doi.org/10.1090/qam/1193659
MathSciNet review: MR1193659
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Abstract: The stability of a magnetic fluid subject to a normal magnetic field at the second harmonic resonance is investigated. The stability characteristics are examined on the basis of two coupled dynamical equations that are solved numerically. The solution reveals that there exists an explosive instability when the applied magnetic field strength is in the neighbourhood of the bifurcation magnetic field strength $H_{m}$ .

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