Self-Similar Solutions of Three-Dimensional Navier-
Stokes Equation
I.F. Barna
【期刊名称】《理论物理通讯（英文版）》
【年(卷),期】2011(056)010
【摘要】In this article we will present pure three dimensional analytic solutions for the Navier-Stokes and the continuity equations in Cartesian coordinates. The key idea is the three-dimensional generalization of the well-known self-similar Ansatz of Barenblatt. A geometrical interpretation of the Ansatz is given also. The results are the Kummer functions or strongly related. Our final formula is compared with other results obtained from group theoretical approaches.
【总页数】6页(745-750)
【关键词】Stokes方程;自相似;三维;Ansatz方法;直角坐标系;连续性方程;几何解释;立体
【作者】I.F. Barna
【作者单位】KFKI Atomic Energy Research Institute of the Hungarian Academy of Sciences, Thermohydraulics Department, （KFKI-AEKI）, H-1525 Budapest, P.O. Box 49, Hungary
【正文语种】中文
【中图分类】O357.1;TP393