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2 results

  • Semi-analytical study of the Voinovs problem

  • E. A. KARABUT, A. G. PETROV, E. N. ZHURAVLEVA
  • Journal:
    European Journal of Applied Mathematics / Volume 30 / Issue 2 / April 2019
    Published online by Cambridge University Press:
    07 March 2018, pp. 298-337

  • 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.