The classical solution of one overdetermined stationary system arising in two-velocity hydrodynamics

Sherzad Kholmatgonovich Imomnazarov, Mikhail Vadimovich Urev

Research output: Contribution to journalArticlepeer-review

Abstract

The classical solution of an overdetermined stationary system of second order equations arising in a two-fluid medium is considered. Using the theory of potential and the Green's function for a given system, the existence of the classical solution in the case of specifying the Dirichlet boundary conditions is shown. The influence of the kinetic parameters of the medium on the solution of the system in question has been shown.

Translated title of the contributionКлассическое решение одной переопределенной стационарной системы, возникающей в двухскоростной гидродинамике
Original languageEnglish
Pages (from-to)1621-1629
Number of pages9
JournalSiberian Electronic Mathematical Reports
Volume15
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Two- velocity hydrodynamics
  • viscous liquid
  • fundamental solution
  • potential of double layer
  • Green's function
  • the classical solution

State classification of scientific and technological information

  • 27.29 Ordinary differential equations

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