Offers on cooperation is may direct on E-mail: svyatskov-n@inbox.ru; nit21-eng@yandex.ru

EULER - LAGRANGE EQUATION for the BOUNDARY LAYER

Connection Euler-Lagrange Equation for Boundary Layer with the Theory Singularity Disturbed Problems.
This equation of the second order is essentially nonlinear equation. The linear equation to allocate from this equation it is impossible even at the certain set of parameters. Existence of a singular point is connected with disturbed of strengthened Legendre condition.
In occasion of research carried out by the author it is possible to draw a following conclusion: the neighborhood of a singular point forms a mathematical boundary layer. In this boundary layer the solution of a problem can be presented in the form of Puiseux series.
REFERENCES
1. V.A.Svyatskov, The equation of Euler – Lagrange in the Boundary Layer with applications. Cheboksary, Chuvash State Pedagogical University, 163 p. (monograph, in Russian) 2000 ISBN 5-88297-075-X.
2. V.A.Svyatskov, One Method of Calculation for Optimal Shape of a Body in Hypersonic Flow Near a Singular Point (invited, in Russia), Proceeding of International Summer Scientific School on “High Speed Hydrodynamics”(HSH-2002), 16-23 June 2002, Cheboksary, Russia 383 – 388.