English

Exact controllability of two-dimensional hydroelastic waves

Analysis of PDEs 2026-03-03 v1 Optimization and Control

Abstract

We prove the exact controllability of two-dimensional hydroelastic waves in the periodic setting. We show that if the initial data and the final data are small, for exterior pressure whose support is any non-empty open set ω\omega, the two-dimensional hydroelastic wave system is exactly controllable in arbitrary short time.

Keywords

Cite

@article{arxiv.2603.01646,
  title  = {Exact controllability of two-dimensional hydroelastic waves},
  author = {Lizhe Wan and Jiaqi Yang},
  journal= {arXiv preprint arXiv:2603.01646},
  year   = {2026}
}

Comments

42 pages

R2 v1 2026-07-01T10:58:50.506Z