Conservation Laws and Variational Principles

1985 ◽  
pp. 87-105
Keyword(s):  
Conservation Laws ◽  
Variational Principles ◽  
And Variational Principles

Symmetries, conservation laws and variational principles for vector field theories†

1996 ◽  
Vol 120 (2) ◽  
pp. 369-384 ◽  
Author(s):  
Ian M. Anderson ◽  
Juha Pohjanpelto
Keyword(s):  
Conservation Laws ◽  
Variational Principles ◽  
Field Theories ◽  
Conserved Quantities ◽  
Lagrange Equations ◽  
Differential Identities ◽  
Infinite Dimensional ◽  
Independent Variables ◽  
Generalized Symmetries ◽  
And Variational Principles

The interplay between symmetries, conservation laws, and variational principles is a rich and varied one and extends well beyond the classical Noether's theorem. Recall that Noether's first theorem asserts that to every r dimensional Lie algebra of (generalized) symmetries of a variational problem there are r conserved quantities for the corresponding Euler-Lagrange equations. Noether's second theorem asserts that infinite dimensional symmetry algebras (depending upon arbitrary functions of all the independent variables) lead to differential identities for the Euler-Lagrange equations.

Water wave theories and variational principles

1979 ◽  
Vol 2 (3) ◽  
pp. 352-366 ◽  
Author(s):  
F. Bampi ◽  
A. Morro
Keyword(s):  
Water Wave ◽  
Variational Principles ◽  
And Variational Principles

scholarly journals Extremum and Variational Principles in Mechanics

1975 ◽  
Vol 42 (3) ◽  
pp. 751-751
Author(s):  
Horst Lippmann ◽  
E. F. Masur
Keyword(s):  
Variational Principles ◽  
And Variational Principles
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