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