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PhD course "Nonlinear waves" - Ancona

Università Politecnica delle Marche
Dipartimento D.I.C.E.A. e Consiglio Scientifico dei Corsi di Dottorato in Scienze dell’Ingegneria

Nonlinear waves - Prof. Alex Sheremet
4-8 june 2018, starting 10:30 (wednesday, starting 14:30),

Dicea - Università Politecnica delle Marche, via Brecce Bianche 12, Ancona, Aula 160/3

Course description:
The course is an introduction to nonlinear dynamical systems encountered in the study of water waves. Although the focus of the course is the evolution of water waves, the systems discussed are quite general and arise in many problems, from plasma to brain physics. We use the general equations for irrotational inviscid flow of an inviscid fluid with a free surface to illustrate the interplay between wave dispersivity and nonlinearity. Three fundamental systems are used as paradigms: the Shallow Water, the Korteweg-DeVries, and the Nonlinear Schrodinger equations. We discuss their properties and highlight the effects dispersion and nonlinearity. We conclude with the Hamiltonian formulation for water waves, and the derivation and analysis of the kinetic Zakharov equation.

For further information, please contact: Prof. Maurizio Brocchini, D.I.C.E.A., m.brocchini@univpm.it.