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Dynamics of a system of admixture particles in a hydrodynamic field, its states and stability

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Summary

An analysis of the equation for geodetic distance is presented, based on the condition of integrability of the equation for the covariant derivative of the velocity of an admixture particle in a fluid and on the assumption that the motion is taking place in a compact varieta along trajectories close to geodesics. A pattern of state is thus obtained in the neighbourhood of equilibirum state in the appropriate space of states, and we decide about its stability in the sense of the Lyapunovian theory of stability of the quiescent condition. The conditions of integrability are also considered with regard to the metric in conformal Euclidean (conformally flat) form.

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Authors and Affiliations

  1. Institute of the Physics of the Atmosphere, Czechosl. Acad. Sci., Prague

    Jiří Horák

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  1. Jiří Horák
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Horák, J. Dynamics of a system of admixture particles in a hydrodynamic field, its states and stability. Stud Geophys Geod 26, 81–92 (1982). https://doi.org/10.1007/BF01616128

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  • DOI: https://doi.org/10.1007/BF01616128

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