Vol.3, No 11, 2001 pp. 5-12
UDC 517.93:532(045)
DERIVATION
OF GENERALIZED VARIATIONAL PRINCIPLES WITHOUT USING LAGRANGE MULTIPLIERS
PART I: APPLICATIONS
TO FLUID MECHANICS
Ji-Huan He
Shanghai University, Shanghai Institute of Applied Mathematics and
Mechanics
149 Yanchang Road, Shanghai 200072, P.R. China
Abstract. A systematic approach to
derivation of variational principles directly from the partial differential
equations of fluid mechanics is suggested herein. Based upon the semi-inverse
method proposed by He, various variational principles can be readily obtained
without using Lagrange multiplier method.
IZVOĐENJE
UOPŠTENIH VARIJACIONIH PRINCIPA
BEZ KORIŠĆENJA
LAGRANGE-OVIH MNOŽILACA
DEO I: PRIMENA
NA MEHANIKU FLUIDA
U radu je sugerisan sistematski pristup izvođenju
diferencijalnih principa direktno iz parcijalnih diferencijalnih jednačina
mehanike fluida. Zasnovan na polu-inverznoj metodi predloženoj od strane
He-ija, različiti varijacioni principi mogu se lako dobiti bez korišćenja
Lagrange-ove metode množioca.
