On the Infinite Particle Limit in Lagrangian Dynamics and Convergence of Optimal Transportation Meshfree Methods

@article{Schmidt2014OnTI,
  title={On the Infinite Particle Limit in Lagrangian Dynamics and Convergence of Optimal Transportation Meshfree Methods},
  author={Bernd Schmidt},
  journal={Multiscale Modeling & Simulation},
  year={2014},
  volume={12},
  pages={265-289}
}
We consider Lagrangian systems in the limit of infinitely many particles. It is shown that the corresponding discrete action functionals Γ-converge to a continuum action functional acting on probability measures of particle trajectories. Also, the convergence of stationary points of the action is established. Minimizers of the limiting functional and, more… CONTINUE READING