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Simona Rota Nodari

Orbital stability in Hamiltonian PDEs with symmetries

Abstract: In this talk, I will describe the energy-momentum method for the proof of the orbital stability of relative equilibria of Hamiltonian dynamical systems on Banach spaces, in the presence of higher dimensional symmetry groups. More precisely, I will show that the proof of the orbital stability can be reduced to a "coercivity estimate" on an appropriately constructed Lyapunov function and I will illustrate how this estimate can be obtained in the general case of higher dimensional symmetry groups.

(Works in collaboration with Stephan De Bièvre and François Genoud)