A.A.Avramenko The Lee groups and automodelling forms of the Prandtl equations |
Applied hydromechanics, Vol. 1 (73) ¹ 2, (1999) |
| Basing on the Lie groups, various forms of automodelling variables, functions and differential equations have been obtained including the generalized Blasius equation. It has been shown that the form of the general ordinary differential equation is determined by the use of the parametric variable. Using the property of symmetry, the generalized Blasius equation has been redused to the first order. Two new automodelling solutions of the Prandtl equations have obtained. The way has been shown of ransforming the one-parameter Lie algebra of the Prandtl equations, consisting of four subalgebras, to the algebra with three subalgebras with one subalgebra one-parameter one. |
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| TEXT LANGUAGE: Russian |