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Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface. / Zhuravleva, E. N.; Zubarev, N. M.; Zubareva, O. V. et al.

In: JETP Letters, Vol. 110, No. 7, 01.10.2019, p. 452-456.

Research output: Contribution to journal › Article › peer-review

Harvard

Zhuravleva, EN, Zubarev, NM, Zubareva, OV & Karabut, EA 2019, 'Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface', JETP Letters, vol. 110, no. 7, pp. 452-456. https://doi.org/10.1134/S0021364019190135

APA

Zhuravleva, E. N., Zubarev, N. M., Zubareva, O. V., & Karabut, E. A. (2019). Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface. JETP Letters, 110(7), 452-456. https://doi.org/10.1134/S0021364019190135

Vancouver

Zhuravleva EN, Zubarev NM, Zubareva OV, Karabut EA. Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface. JETP Letters. 2019 Oct 1;110(7):452-456. doi: 10.1134/S0021364019190135

Author

Zhuravleva, E. N. ; Zubarev, N. M. ; Zubareva, O. V. et al. / Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface. In: JETP Letters. 2019 ; Vol. 110, No. 7. pp. 452-456.

BibTeX

@article{cb1c6a9afc7546f09c1f430e281182db,
title = "Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface",
abstract = "Unsteady plane potential flows of an ideal incompressible fluid with a free surface in the absence of external forces and capillarity are studied. An algorithm to construct exact solutions for such flows has been proposed on the basis of the analysis of compatibility conditions of the equations of motion and an auxiliary complex transport equation. This algorithm makes it possible to significantly expand the list of known exact nontrivial solutions of the considered classical problem. This list has recently consisted of only a few Dirichlet solutions: flows for which the surface of the fluid is a parabola, ellipse, or hyperbola. This algorithm allows reproducing a recently found class of solutions specified by the Hopf equation for the complex velocity and finding a fundamentally new large class of solutions for which flows are described by the Hopf equation for the inverse complex velocity.",
author = "Zhuravleva, {E. N.} and Zubarev, {N. M.} and Zubareva, {O. V.} and Karabut, {E. A.}",
year = "2019",
month = oct,
day = "1",
doi = "10.1134/S0021364019190135",
language = "English",
volume = "110",
pages = "452--456",
journal = "JETP Letters",
issn = "0021-3640",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "7",

}

RIS

TY - JOUR

T1 - Algorithm for Constructing Exact Solutions of the Problem of Unsteady Plane Motion of a Fluid with a Free Surface

AU - Zhuravleva, E. N.

AU - Zubarev, N. M.

AU - Zubareva, O. V.

AU - Karabut, E. A.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - Unsteady plane potential flows of an ideal incompressible fluid with a free surface in the absence of external forces and capillarity are studied. An algorithm to construct exact solutions for such flows has been proposed on the basis of the analysis of compatibility conditions of the equations of motion and an auxiliary complex transport equation. This algorithm makes it possible to significantly expand the list of known exact nontrivial solutions of the considered classical problem. This list has recently consisted of only a few Dirichlet solutions: flows for which the surface of the fluid is a parabola, ellipse, or hyperbola. This algorithm allows reproducing a recently found class of solutions specified by the Hopf equation for the complex velocity and finding a fundamentally new large class of solutions for which flows are described by the Hopf equation for the inverse complex velocity.

AB - Unsteady plane potential flows of an ideal incompressible fluid with a free surface in the absence of external forces and capillarity are studied. An algorithm to construct exact solutions for such flows has been proposed on the basis of the analysis of compatibility conditions of the equations of motion and an auxiliary complex transport equation. This algorithm makes it possible to significantly expand the list of known exact nontrivial solutions of the considered classical problem. This list has recently consisted of only a few Dirichlet solutions: flows for which the surface of the fluid is a parabola, ellipse, or hyperbola. This algorithm allows reproducing a recently found class of solutions specified by the Hopf equation for the complex velocity and finding a fundamentally new large class of solutions for which flows are described by the Hopf equation for the inverse complex velocity.

UR - http://www.scopus.com/inward/record.url?scp=85076887754&partnerID=8YFLogxK

U2 - 10.1134/S0021364019190135

DO - 10.1134/S0021364019190135

M3 - Article

AN - SCOPUS:85076887754

VL - 110

SP - 452

EP - 456

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 7

ER -

ID: 22997392