A NEW CLASS OF EXACT SOLUTIONS IN THE PLANAR NONSTATIONARY PROBLEM OF MOTION OF A FLUID WITH A FREE BOUNDARY Full article
| Journal |
Theoretical and Mathematical Physics(Russian Federation)
ISSN: 0040-5779 |
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| Output data | Year: 2020, Volume: 202, Number: 3, Pages: 344-351 Pages count : 8 DOI: 10.1134/S004057792003006X | ||||||||
| Tags | COMPLEX, EXACT SOLUTION, HOPF EQUATION, IDEAL INCOMPRESSIBLE FLUID, UNSTEADY PLANAR FLOW WITH A FREE BOUNDARY, VELOCITY | ||||||||
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Abstract:
We consider the classical problem of potential unsteady flow of an ideal incompressible fluid with a free boundary. It was previously discovered that in the absence of external forces and capillarity, a wide class of exact solutions of the problem can be described by the Hopf equation for a complex velocity. We here obtain a new class of solutions described by the Hopf equation for a quantity that is the inverse of the complex velocity. These solutions describe the evolution of two-dimensional perturbations of the free boundary in compression or expansion of a circular cavity (in the unperturbed state) in the fluid.
Cite:
ZHURAVLEVA E.N.
, ZUBAREV N.M.
, ZUBAREVA O.V.
, KARABUT E.A.
A NEW CLASS OF EXACT SOLUTIONS IN THE PLANAR NONSTATIONARY PROBLEM OF MOTION OF A FLUID WITH A FREE BOUNDARY
Theoretical and Mathematical Physics(Russian Federation). 2020. V.202. N3. P.344-351. DOI: 10.1134/S004057792003006X WOS Scopus РИНЦ OpenAlex
A NEW CLASS OF EXACT SOLUTIONS IN THE PLANAR NONSTATIONARY PROBLEM OF MOTION OF A FLUID WITH A FREE BOUNDARY
Theoretical and Mathematical Physics(Russian Federation). 2020. V.202. N3. P.344-351. DOI: 10.1134/S004057792003006X WOS Scopus РИНЦ OpenAlex
Original:
Журавлева Е.Н.
, Зубарев Н.М.
, Зубарева О.В.
, Карабут Е.А.
Новый класс точных решений в плоской нестационарной задаче о движении жидкости со свободной границей
Теоретическая и математическая физика. 2020. Т.202. №3. С.393-402. DOI: 10.4213/tmf9783 РИНЦ OpenAlex
Новый класс точных решений в плоской нестационарной задаче о движении жидкости со свободной границей
Теоретическая и математическая физика. 2020. Т.202. №3. С.393-402. DOI: 10.4213/tmf9783 РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000524228200006 |
| Scopus: | 2-s2.0-85083068857 |
| Elibrary: | 43260315 |
| OpenAlex: | W3015864182 |