Exact Solution of 3D Navier–Stokes Equations
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https://elib.sfu-kras.ru/handle/2311/135202Author:
Koptev, Alexander V.
Коптев, Александр В.
Date:
2020-05Journal Name:
Журнал Сибирского федерального университета.Математика и физика.Journal of Siberian Federal University. Mathematics & Physics, 2020 13 (3)Abstract:
Procedure for constructing exact solutions of 3D Navier–Stokes equations for an incompressible
fluid flow is proposed. It is based on the relations representing the previously obtained first integral
of the Navier–Stokes equations. A primary generator of particular solutions is proposed. It is used to
obtain new classes of exact solutions В работе предложена процедура построения точных решений 3D-уравнений Навье–
Стокса для несжимаемой жидкости. За основу принимаются соотношения, представляющие первый
интеграл уравнений Навье–Стокса, ранее полученные автором. Построен первичный генератор
частных решений, и с его помощью найдены новые классы точных решений
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