English

Lagrangian Controllability of the 1-D Korteweg-de Vries Equation

Optimization and Control 2016-11-10 v1

Abstract

We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries equation. Using the NN-solitons solution, we prove that, for any length of the spatial domain L>0L>0 and any time T>0T>0, it is possible to choose appropriate boundary controls of KdV equation such that the flow associated to this solution exit the domain in time TT.

Keywords

Cite

@article{arxiv.1611.02899,
  title  = {Lagrangian Controllability of the 1-D Korteweg-de Vries Equation},
  author = {Ludovick Gagnon},
  journal= {arXiv preprint arXiv:1611.02899},
  year   = {2016}
}

Comments

20 pages, 1 figure