Neutral instability curves in the problem of concentration convection in an electric field (branching of solutions, calculation, asymptotic behavior).

*(English. Russian original)*Zbl 0855.76025
Fluid Dyn. 29, No. 5, 717-723 (1994); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1994, No. 5, 150-157 (1994).

Summary: The main purpose is to investigate the effect of the physical characteristics of an impurity concentrated by an electric field and its location on the onset of convective instability. In constructing the convection model, attention is mainly focused on taking into account the concentration effects, while Joule heat release is assumed to be negligibly small and the temperature of the liquid is assumed to be constant.

##### MSC:

76E15 | Absolute and convective instability and stability in hydrodynamic stability |

76E25 | Stability and instability of magnetohydrodynamic and electrohydrodynamic flows |

##### Keywords:

Oberbeck-Boussinesq approximation; isoelectrofucusing process; impurity; concentration effects
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\textit{M. Yu. Zhukov} and \textit{O. A. Tsyvenkova}, Fluid Dyn. 29, No. 5, 717--723 (1994; Zbl 0855.76025); translation from Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza 1994, No. 5, 150--157 (1994)

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##### References:

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[7] | M. M. Vainberg and V. A. Trenogin,Theory of Branching of the Solutions of Nonlinear Equations [in Russian], Nauka, Moscow (1969). · Zbl 0274.47033 |

[8] | A. A. Belolipetskii, N. R. Strongina, and A. M. Ter-Krikorov, ”Some problems of the evolution of dissipative structures from the standpoint of bifurcation theory,” in:Mathematical Modeling. Methods of Describing and Investigating Complex Systems [in Russian], Nauka, Moscow (1989), p. 7. |

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