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The differential equation obtained by setting the first variation of an action to zero under fixed-boundary variations.
wp-physics-euler_lagrange_equationnlab-physics-euler_lagrange_equationcambridge-classical-dynamicstong-qftEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Euler–Lagrange equations are the equations of motion obtained by stationarity of a Lagrangian action.
The target is a member or subtype of the broader source class.
wp-physics-euler_lagrange_equationnlab-physics-euler_lagrange_equationcambridge-classical-dynamicstong-qftwp-physics-equation_of_motionnlab-physics-equation_of_motionThis is an authored directed relation from the source endpoint to the target endpoint.
Euler–Lagrange field equations are obtained by setting the functional derivative of the action to zero.
A mathematical concept supplies part of the formal language, state space, representation, or analytic machinery used by a scientific or mathematical-physics concept. The source is the mathematical predecessor; this does not claim that physical content follows from mathematics alone.
wp-functional_derivativenlab-functional_derivativetong-qftwp-physics-euler_lagrange_equationnlab-physics-euler_lagrange_equationcambridge-classical-dynamicsThis is an authored directed relation from the source endpoint to the target endpoint.
Stationarity of the action under admissible variations yields the Euler–Lagrange equations.
Record a genuine theorem implication that is not part of the target definition; these edges may point toward a weaker structure.
wp-physics-stationary_action_principlenlab-physics-stationary_action_principlecambridge-classical-dynamicswp-physics-euler_lagrange_equationnlab-physics-euler_lagrange_equationtong-qftEach relation below starts at this concept.
No direct relations are authored in this direction.