Self-Similar Solutions of Three-Dimensional Navier-Stokes Equation

被引：22
|
作者：
Barna, I. F. [1 ]
机构：
[1] Hungarian Acad Sci, KFKI Atom Energy Res Inst, Thermohydraul Dept, KFKI AEKI, H-1525 Budapest, Hungary
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 04期
关键词：
Navier-Stokes equation; self-similar solution; NONLINEAR SCHRODINGER-EQUATION; SOLITARY WAVE SOLUTIONS; COEFFICIENTS; REDUCTION;
D O I：
10.1088/0253-6102/56/4/25
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页码：745 / 750
页数：6
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