Modul:   MAT673  Seminar PDE and Mathematical Physics

Controllability of water waves

Vortrag von Dr. Thomas Alazard

Sprecher eingeladen von: Prof. Dr. Thomas Kappeler

Datum: 27.11.14  Zeit: 18.15 - 19.15  Raum: Y27H35/36

Water waves are disturbances of the free surface of a liquid. They are, in general, produced by the immersion of a solid body or by impulsive pressures applied on the free surface. The question we discuss in this talk is the following: which waves can be generated by impulsive pressures applied only on a localized portion of the free surface. Our main result asserts that one can generate any small amplitude, periodic in x, two-dimensional, gravity-capillary water waves. This is a result from control theory. More precisely, this article is devoted to the study of the exact local controllability of the incompressible Euler equation with free surface. This is a joint work with Pietro Baldi and Daniel Han-Kwan.