About general solutions of Euler’s and Navier-Stokes equations

Тип публікації :
Стаття
Дата випуску :
2019
Автор(и) :
Rozumniuk, V. I.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
DOI :
Журнал :
Випуск :
1
ISSN :
1812-5409
Початкова сторінка :
190
Кінцева сторінка :
193
Цитування :
[APA 7] Rozumniuk, V. I. (2019). About general solutions of Euler’s and Navier-Stokes equations. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (1), 190–193. https://doi.org/10.17721/1812-5409.2019/1.44
[ДСТУ] Rozumniuk V. I. About general solutions of Euler’s and Navier-Stokes equations. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2019. no. 1. P. 190—193. DOI: 10.17721/1812-5409.2019/1.44 (date of access: 18.07.2026).
Constructing a general solution to the Navier-Stokes equation is a fundamental problem of current fluid mechanics and mathematics due to nonlinearity occurring when moving to Euler’s variables. A new transition procedure is proposed without appearing nonlinear terms in the equation, which makes it possible constructing a general solution to the Navier-Stokes equation as a combination of general solutions to Laplace’s and diffusion equations. Existence, uniqueness, and smoothness of the solutions to Euler's and Navier-Stokes equations are found out with investigating solutions to the Laplace and diffusion equations well-studied.Key words: Euler’s and Navier-Stokes equations, general solutions.Pages of the article in the issue: 190-193Language of the article: Ukrainian
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