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On Systems of Nonlinear ODE Arising in Gas Dynamics: Application to Vortical Motion

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Differential and Difference Equations with Applications (ICDDEA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 230))

Abstract

We show that with the multidimensional system of gas dynamics with a special forcing one can associate a quadratically nonlinear ODE system which describes a special class of motion. The system can be obtained by two different ways. In particular, we study the influence of Coriolis and frictional terms. We review the result about the non-frictional case and study the influence of constant dry friction.

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Correspondence to Olga S. Rozanova .

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Rozanova, O.S., Turzynski, M.K. (2018). On Systems of Nonlinear ODE Arising in Gas Dynamics: Application to Vortical Motion. In: Pinelas, S., Caraballo, T., Kloeden, P., Graef, J. (eds) Differential and Difference Equations with Applications. ICDDEA 2017. Springer Proceedings in Mathematics & Statistics, vol 230. Springer, Cham. https://doi.org/10.1007/978-3-319-75647-9_32

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