We consider the 3D Navier–Stokes equations governing the motion of an incompressible medium and obtain sufficient conditions for the sum of two solutions to the Navier–Stokes equations to be also a solution. The result is illustrated by examples.
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A. V. Koptev, “Exact solutions of 3D Navier–Stokes equations,” J. Sib. Fed. Univ., Math. Phys. 13, No. 3, 306–313 (2020).
A. V. Koptev, “Method for solving the Navier–Stokes and Euler equations of motion for incompressible media,” J. Math. Sci. 250, No. 1, 10–21 (2020).
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Translated from Problemy Matematicheskogo Analiza 122, 2023, pp. 53-60.
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Koptev, A.V. Construction of a New Solution to the Navier–Stokes Equations from Two Known Solutions. J Math Sci 270, 562–570 (2023). https://doi.org/10.1007/s10958-023-06367-4
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DOI: https://doi.org/10.1007/s10958-023-06367-4