Minimising movements for oscillating energies: the critical regime

@inproceedings{Ansini2016MinimisingMF,
  title={Minimising movements for oscillating energies: the critical regime},
  author={Nadia Ansini and Andrea Braides and Johannes Zimmer},
  year={2016}
}
  • Nadia Ansini, Andrea Braides, Johannes Zimmer
  • Published 2016
  • Physics, Mathematics
  • Minimising movements are investigated for an energy which is the superposition of a convex functional and fast small oscillations. Thus a minimising movement scheme involves a temporal parameter $\tau$ and a spatial parameter $\epsilon$, with $\tau$ describing the time step and the frequency of the oscillations being proportional to $\frac 1 \epsilon$. The extreme cases of fast time scales $\tau 0$ is studied. It is shown that a pinning threshold exists, with initial data below the threshold… CONTINUE READING

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