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  • 标题:AN ANALYTICAL-NUMERICAL METHOD FOR INVESTIGATION AND SOLVING THREE DIMENSIONAL STEADY STATE NAVIER-STOKES EQUATIONS, II
  • 作者:Aliev, M. Jahanshahi, S.M. Hosseini, N.
  • 期刊名称:International Journal of Differential Equations and Applications
  • 印刷版ISSN:1311-2872
  • 出版年度:2005
  • 卷号:10
  • 期号:2
  • DOI:10.12732/ijdea.v10i2.188
  • 语种:English
  • 出版社:International Journal of Differential Equations and Applications
  • 摘要:Navier-Stokes equations are appeared in many engineering and physical problems.According to the non-linearity of these equations solving methodsare often numerical.In this paper a theoretical method is presented for investigationand solving of three dimensional steady state Navier-Stokesequations. According to this method, Navier-Stokes system ofequations is reduced to the second kind of Fredholm integralequations whith weakly kind singularities in the integral expressions.For this at first, divergence of equation (continuity equation)is reduced to a system of Cauchy-Riemann equations.Next, the three Navier-Stokes equations are reduced to thedivergence form of equations.Finally, by making use of fundamental solutions of Cauchy-Riemannequations, the resulted equation will be reduced to the secondkind of Fredholm integral equations. So, numerical methods are applicable after this reduction.
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