TY - JOUR

T1 - Semi-analytical study of the Voinovs problem

AU - KARABUT, E. A.

AU - PETROV, A. G.

AU - ZHURAVLEVA, E. N.

PY - 2019/4/1

Y1 - 2019/4/1

N2 - A problem from the class of unsteady plane flows of an ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series in time or Laurent series which are analytically continued with the use of Padé approximants and change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found. Singularities of the solution are studied.

AB - A problem from the class of unsteady plane flows of an ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series in time or Laurent series which are analytically continued with the use of Padé approximants and change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found. Singularities of the solution are studied.

KW - Conformal mapping

KW - free boundary flow

KW - ideal incompressible fluid

KW - Pade approximant

KW - BUBBLE

KW - GRAVITY-WAVES

KW - SINGULARITIES

KW - INITIAL MOTION

KW - LIQUID

KW - INCOMPRESSIBLE FLUID

KW - FREE-SURFACE

KW - IDEAL FLUID

KW - PADE APPROXIMANTS

KW - WATER

UR - http://www.scopus.com/inward/record.url?scp=85042847186&partnerID=8YFLogxK

U2 - 10.1017/S0956792518000098

DO - 10.1017/S0956792518000098

M3 - Article

AN - SCOPUS:85042847186

VL - 30

SP - 298

EP - 337

JO - European Journal of Applied Mathematics

JF - European Journal of Applied Mathematics

SN - 0956-7925

IS - 2

ER -