Where does friction or dissipation come from ? (Thierry Goudon, Centre Inria d'Université Côte d'Azur)Séminaire « Analyse numérique et équations aux dérivées partielles »
It is quite intuitive to think of friction/dissipation as the result of the interactions between a particle and its complex environment. The formalization of this idea dates back to Caldeira-Leggett in the 80's, and it leads to couple particle's motion to a vibrational field, through momentum and
energy exchanges. The starting point of this research track, investigated with S. De Bievre, R. Alonso, A. Vavasseur, L. Vivion, S. Rota Nodari, is a model introduced by S. De Bievre and L. Bruneau where a single classical particle interacts with a transverse wave equation. This model is revisited by considering several classical or quantum particles. We are particularly interested in asymptotic and stability issues.