Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations

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Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations. / Karabut, E. A.; Zhuravleva, E. N.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 202, No. 3, 03.2020, p. 371-380.

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

BibTeX

@article{f0922fc28b5546cba3e63ded855140fe,

title = "Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations",

abstract = "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.",

keywords = "conformal map, doubly periodic function, exact solution, ideal incompressible fluid, WAVES",

author = "Karabut, {E. A.} and Zhuravleva, {E. N.}",

year = "2020",

month = mar,

doi = "10.1134/S0040577920030095",

language = "English",

volume = "202",

pages = "371--380",

journal = "Theoretical and Mathematical Physics(Russian Federation)",

issn = "0040-5779",

publisher = "Springer Singapore",

number = "3",

}

RIS

TY - JOUR

T1 - Construction of exact solutions of the problem of the motion of a fluid with a free boundary using infinite systems of differential equations

AU - Karabut, E. A.

AU - Zhuravleva, E. N.

PY - 2020/3

Y1 - 2020/3

N2 - 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.

AB - 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.

KW - conformal map

KW - doubly periodic function

KW - exact solution

KW - ideal incompressible fluid

KW - WAVES

UR - http://www.scopus.com/inward/record.url?scp=85083062340&partnerID=8YFLogxK

U2 - 10.1134/S0040577920030095

DO - 10.1134/S0040577920030095

M3 - Article

AN - SCOPUS:85083062340

VL - 202

SP - 371

EP - 380

JO - Theoretical and Mathematical Physics(Russian Federation)

JF - Theoretical and Mathematical Physics(Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 23994892