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A Problem on a Viscous Layer Deformation. / Zhuravleva, E. N.; Pukhnachev, V. V.

In: Doklady Physics, Vol. 65, No. 2, 01.02.2020, p. 60-63.

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Zhuravleva EN, Pukhnachev VV. A Problem on a Viscous Layer Deformation. Doklady Physics. 2020 Feb 1;65(2):60-63. doi: 10.1134/S102833582002010X

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Zhuravleva, E. N. ; Pukhnachev, V. V. / A Problem on a Viscous Layer Deformation. In: Doklady Physics. 2020 ; Vol. 65, No. 2. pp. 60-63.

BibTeX

@article{63957190b9a44e7c9e5fc0a8b5b9980c,
title = "A Problem on a Viscous Layer Deformation",
abstract = "The axisymmetric motion of a viscous incompressible fluid in a layer bounded by a solid plane and the free surface parallel to it is considered. There are three regimes of motion in the problem: stabilization to rest, collapse in a finite time, and an intermediate self-similar regime in which the viscous layer expands unlimitedly in an infinite time.",
keywords = "collapse of solution, comparison theorem, free boundaries, Lyapunov functional, Navier–Stokes equations",
author = "Zhuravleva, {E. N.} and Pukhnachev, {V. V.}",
year = "2020",
month = feb,
day = "1",
doi = "10.1134/S102833582002010X",
language = "English",
volume = "65",
pages = "60--63",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - A Problem on a Viscous Layer Deformation

AU - Zhuravleva, E. N.

AU - Pukhnachev, V. V.

PY - 2020/2/1

Y1 - 2020/2/1

N2 - The axisymmetric motion of a viscous incompressible fluid in a layer bounded by a solid plane and the free surface parallel to it is considered. There are three regimes of motion in the problem: stabilization to rest, collapse in a finite time, and an intermediate self-similar regime in which the viscous layer expands unlimitedly in an infinite time.

AB - The axisymmetric motion of a viscous incompressible fluid in a layer bounded by a solid plane and the free surface parallel to it is considered. There are three regimes of motion in the problem: stabilization to rest, collapse in a finite time, and an intermediate self-similar regime in which the viscous layer expands unlimitedly in an infinite time.

KW - collapse of solution

KW - comparison theorem

KW - free boundaries

KW - Lyapunov functional

KW - Navier–Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=85084279853&partnerID=8YFLogxK

U2 - 10.1134/S102833582002010X

DO - 10.1134/S102833582002010X

M3 - Article

AN - SCOPUS:85084279853

VL - 65

SP - 60

EP - 63

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 2

ER -

ID: 24262053