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A new class of exact solutions in the planar nonstationary problem of motion of a fluid with a free boundary. / Zhuravleva, E. N.; Zubarev, N. M.; Zubareva, O. V. и др.

в: Theoretical and Mathematical Physics(Russian Federation), Том 202, № 3, 03.2020, стр. 344-351.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Zhuravleva, EN, Zubarev, NM, Zubareva, OV & Karabut, EA 2020, '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), Том. 202, № 3, стр. 344-351. https://doi.org/10.1134/S004057792003006X

APA

Zhuravleva, E. N., Zubarev, N. M., Zubareva, O. V., & Karabut, E. A. (2020). 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), 202(3), 344-351. https://doi.org/10.1134/S004057792003006X

Vancouver

Zhuravleva EN, Zubarev NM, Zubareva OV, Karabut EA. 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 март;202(3):344-351. doi: 10.1134/S004057792003006X

Author

Zhuravleva, E. N. ; Zubarev, N. M. ; Zubareva, O. V. и др. / A new class of exact solutions in the planar nonstationary problem of motion of a fluid with a free boundary. в: Theoretical and Mathematical Physics(Russian Federation). 2020 ; Том 202, № 3. стр. 344-351.

BibTeX

@article{e4b801f916b743a595e17375b7d10f8f,
title = "A new class of exact solutions in the planar nonstationary problem of motion of a fluid with a free boundary",
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.",
keywords = "complex, exact solution, Hopf equation, ideal incompressible fluid, unsteady planar flow with a free boundary, velocity, UNSTEADY FLOWS, SINGULARITIES, ZERO ACCELERATION, FREE-SURFACE, 2-DIMENSIONAL HYDRODYNAMICS, WAVES, DYNAMICS",
author = "Zhuravleva, {E. N.} and Zubarev, {N. M.} and Zubareva, {O. V.} and Karabut, {E. A.}",
year = "2020",
month = mar,
doi = "10.1134/S004057792003006X",
language = "English",
volume = "202",
pages = "344--351",
journal = "Theoretical and Mathematical Physics(Russian Federation)",
issn = "0040-5779",
publisher = "Springer Singapore",
number = "3",

}

RIS

TY - JOUR

T1 - A new class of exact solutions in the planar nonstationary problem of motion of a fluid with a free boundary

AU - Zhuravleva, E. N.

AU - Zubarev, N. M.

AU - Zubareva, O. V.

AU - Karabut, E. A.

PY - 2020/3

Y1 - 2020/3

N2 - 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.

AB - 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.

KW - complex

KW - exact solution

KW - Hopf equation

KW - ideal incompressible fluid

KW - unsteady planar flow with a free boundary

KW - velocity

KW - UNSTEADY FLOWS

KW - SINGULARITIES

KW - ZERO ACCELERATION

KW - FREE-SURFACE

KW - 2-DIMENSIONAL HYDRODYNAMICS

KW - WAVES

KW - DYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85083068857&partnerID=8YFLogxK

U2 - 10.1134/S004057792003006X

DO - 10.1134/S004057792003006X

M3 - Article

AN - SCOPUS:85083068857

VL - 202

SP - 344

EP - 351

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 23994948