We propose a method for solving the Navier–Stokes and Euler equations by introducing new unknowns and transforming the defining equations, which allows us to reduce the problem to simpler mathematical problems.
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A. V. Koptev, “A new approach to the study of three-dimensional Navier–Stokes equations” [in Russian], Tr. Sredn.-Volzh. Mat. Obshch. 3, No. 1, 281–287 (2001).
A. V. Koptev, “Integrals of the Navier–Stokes equations” [in Russian], Tr. Sredn.-Volzh. Mat. Obshch. 6, No. 1, 215–225 (2004).
A. V. Koptev, “Integrals of motion of an incompressible medium flow. From classic to modern,” Handbook on Navier–Stokes Equations: Theory and Applied Analysis, pp. 443–459, Nova Sci. Publ., New York. (2017).
A. V. Koptev, “Systematization and analysis of integrals of motion of an incompressible fluid flow” [in Russian], J. Sib. Federal. Univ., Ser. Mat. Phys. 11, No. 3, 370–382 (2018).
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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 11-20.
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Koptev, A.V. Method for Solving the Navier–Stokes and Euler Equations of Motion for Incompressible Media. J Math Sci 250, 10–21 (2020). https://doi.org/10.1007/s10958-020-04992-x
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DOI: https://doi.org/10.1007/s10958-020-04992-x