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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