Controllability and asymptotic stabilization of the Camassa–Holm equation

By Olivier Glass. 2008

58 citations recorded by the source corpus.

We investigate the problems of exact controllability and asymptotic stabilization of the Camassa–Holm equation on the circle, by means of a distributed control. The results are global, and in particular the control prevents the solution from blowing up.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6ca5b5d7f5449129783580a13c6351e203a253da

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In Mathematical Physics

1. Bingyu Zhang
2. Lionel Rosier
3. Olivier Glass
4. Ademir Fernando Pazoto
5. Andrei V. Faminskii
6. Felipe Linares

In Statistical and Nonlinear Physics

1. Lionel Rosier
2. Bingyu Zhang

Citations in the corpus

• Unique continuation property and control for the Benjamin–Bona–Mahony equation on a periodic domain (2013, methodology): “[22,44] for KdV, [9,20,21,40,41] for the nonlinear Schrödinger equation, [24,25] for the Benjamin–Ono equation, [31] for Boussinesq system, and [12] for Camassa–Holm equation).”