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Results tagged with lagrangian-formalism
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user 298170
For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
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Question about constraint in lagrangian
We know that the lagrangian can be written using constraints.
Suppose I have constraint functions $$f_1=\cos(x) - (x+t)/R=0,\qquad f_2=\sin(x)-y/R=0 .$$
But I know that $1=\cos^2+\sin^2$, so do we use …
- 241
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Lagrange Multipliers
In this Lagrangian (from the paper: https://arxiv.org/abs/1302.0192 - page 4), $\eta, \mu, \nu, \& \lambda$ are lagrange multipliers.
My question is: why do they include $\nu$ and $\lambda$ inside t …
- 241
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Why do we maximize according to the values of Lagrange multipliers?
In some Lagrangian problems, when we use the lagrange multipliers to minimize a function $f(x)$ they write:
\begin{equation}
\max_{\lambda,\mu} \min_{x}\mathcal{L} = \max_{\lambda,\mu}\min_{x} \Big( …
- 241
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What is the difference between constraint and boundary condition?
Sometimes, in Lagrangian mechanics, we need to identify the constraints of the problems and using the Lagrange multiplier technique, we got to the equilibrium equations of the problem under study and …
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