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Non-stationary helical flows for incompressible 3D Navier–Stokes equations

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  • Ershkov, Sergey V.

Abstract

In fluid mechanics, a lot of authors have been executing their researches to obtain the analytical solutions of Navier–Stokes equations, even for 3D case of compressible gas flow. But there is an essential deficiency of non-stationary solutions indeed.

Suggested Citation

  • Ershkov, Sergey V., 2016. "Non-stationary helical flows for incompressible 3D Navier–Stokes equations," Applied Mathematics and Computation, Elsevier, vol. 274(C), pages 611-614.
    • Handle: RePEc:eee:apmaco:v:274:y:2016:i:c:p:611-614
    DOI: 10.1016/j.amc.2015.11.039
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    Cited by:

    1. Sergey V. Ershkov & Evgeniy Yu. Prosviryakov & Mikhail A. Artemov & Dmytro D. Leshchenko, 2023. "Non-Stationary Helical Flows for Incompressible Couple Stress Fluid," Mathematics, MDPI, vol. 11(24), pages 1-15, December.
    2. Koichi Takahashi, 2023. "Three-Dimensional Unsteady Axisymmetric Viscous Beltrami Vortex Solutions to the Navier–Stokes Equations," J, MDPI, vol. 6(3), pages 1-17, August.
    3. Didov, A.A. & Uleysky, M.Yu., 2018. "Analysis of stationary points and their bifurcations in the ABC-flow," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 56-64.

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