Semi-analytical study of the Voinovs problem

E. A. KARABUT, A. G. PETROV, E. N. ZHURAVLEVA

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)298-337
Number of pages40
JournalEuropean Journal of Applied Mathematics
Volume30
Issue number2
DOIs
Publication statusPublished - 1 Apr 2019

Keywords

  • Conformal mapping
  • free boundary flow
  • ideal incompressible fluid
  • Pade approximant
  • BUBBLE
  • GRAVITY-WAVES
  • SINGULARITIES
  • INITIAL MOTION
  • LIQUID
  • INCOMPRESSIBLE FLUID
  • FREE-SURFACE
  • IDEAL FLUID
  • PADE APPROXIMANTS
  • WATER

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