Abstract
In this paper the convective motion in a micropolar fluid has been studied. In the linear part the existence theorem is proved, the spectrum of the problem and the set of critical values of Rayleigh numbers are investigated. It is shown that the principle of exchange of stabilities holds for the convective motion in a micropolar fluid and the convective motion is less stable for micropolar than for Newtonian viscous fluid. In the non-linear part the existence theorem for stationary case is proved, the bifurcation is investigated.
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