CONSTRUCTION OF EXACT SOLUTIONS OF THE PROBLEM OF THE MOTION OF A FLUID WITH A FREE BOUNDARY USING INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS

CONSTRUCTION OF EXACT SOLUTIONS OF THE PROBLEM OF THE MOTION OF A FLUID WITH A FREE BOUNDARY USING INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS Full article

Journal

Theoretical and Mathematical Physics(Russian Federation)
ISSN: 0040-5779

Output data

Year: 2020, Volume: 202, Number: 3, Pages: 371-380 Pages count : 10 DOI: 10.1134/S0040577920030095

Tags

CONFORMAL MAP, DOUBLY PERIODIC FUNCTION, EXACT SOLUTION, IDEAL INCOMPRESSIBLE FLUID

Authors

KARABUT E.A. ^1,2 , ZHURAVLEVA E.N. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	Novosibirsk State University

We consider the well-known hydrodynamics problem for the planar potential motion of an ideal incompressible fluid with a free boundary without capillarity and propose a method for finding exact solutions based on reducing the boundary-value problems to systems of ordinary differential equations. We obtain two examples of flows: a stationary motion of a heavy fluid over a smooth bottom and a nonstationary motion of a fluid that originally filled a wedge.

KARABUT E.A. , ZHURAVLEVA E.N.
CONSTRUCTION OF EXACT SOLUTIONS OF THE PROBLEM OF THE MOTION OF A FLUID WITH A FREE BOUNDARY USING INFINITE SYSTEMS OF DIFFERENTIAL EQUATIONS
Theoretical and Mathematical Physics(Russian Federation). 2020. V.202. N3. P.371-380. DOI: 10.1134/S0040577920030095 WOS Scopus РИНЦ OpenAlex

Карабут Е.А. , Журавлева Е.Н.
Построение точных решений задачи о движении жидкости со свободной границей с использованием бесконечных систем дифференциальных уравнений
Теоретическая и математическая физика. 2020. Т.202. №3. С.425-436. DOI: 10.4213/tmf9791 РИНЦ OpenAlex

Web of science:	WOS:000524228200009
Scopus:	2-s2.0-85083062340
Elibrary:	43263296
OpenAlex:	W3015773910

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