Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval

Vincent Perrollaz (1)

1 LJLL - Laboratoire Jacques-Louis Lions

We investigate the nonhomogeneous initial boundary value problem for the Camassa-Holm equation on an interval. We provide a local in time existence theoremand a weak strong uniqueness result. Next we establish a result on the global asymptotic stabilization problem by means of boundary feedback law.

Mots clés: Camassa-Holm equation; Initial boundary value problem; PDE control; Asymptotic stabilization

Domaines: Analyse numérique [cs.NA]

Vincent Perrollaz. Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval. 2010. ⟨hal-00466653⟩