On the Construction of Conservation Laws

• Autorzy: Nordbrock, U. , Kienzler, R.
• Konferencja: German-Greek-Polish Symphosium on Advances in Mechanics (4 ; 09.2001 ; Pułtusk, Poland)
• Języki publikacji: EN

Abstrakty

EN

Methods of constructing conservation laws. The classical Noether's theorem in constructing conservation laws can only be applied, if a Lagrangian function is available for the system of interest. By using the recently developed Neutral Action Method, this requirement can be dropped, since a given set of governing partial differential equations is sufficient to construct conservation laws. But even if a Lagrangian function is available, the NA-method delivers the same results as Noether's method, if, in addition, the Bessel-Hagen extension would be applied.

• Czasopismo: Machine Dynamics Problems
• Rocznik: 2002
• Tom: Vol. 26, No. 4
• Strony: 83-92
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Nordbrock, U.

• University of Bremen,

autor

Kienzler, R.

• University of Bremen

Bibliografia

• Bessel-Hagen, E., 1921, Über die Erhaltungssätze der Elektrodynamik, Math. Ann., 84, 258-276.
• Hagedorn, P., Otterbein, S., 1987, Technische Schwingungslehre, Springer, Berlin.
• Honein, T., Chien, N., Herrmann, G., 1991, On conservation laws for dissipative systems, Phys. Lett. A 155, 223-224.
• Kienzler, R., Herrmann, G., 2000, Mechanics in Material Space with Applications in Defect and Fracture Mechanics, Springer, Berlin.
• Mittelstaedt, P., 1995, Klassische Mechanik, BI-Wiss. Verlag, Manheim.
• Noether, E., 1918, Invariante Variationsprobleme, Nachr. Ges. Wiss. Göttingen, Math. Phys. KI. 2, 235-257.