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Zakharov’s program in water-waves theory

Colloquium

Speaker: Thomas Alazard, École Normale Supérieure de Paris-Saclay
Related Webpage: http://talazard.perso.math.cnrs.fr
Location: 1147 MSB
Start time: Fri, Nov 16 2018, 4:10AM

In 1968, Zakharov introduced a program of research which intends to understand the dynamics of small amplitude water waves, and especially the transfer of energy among the waves. This program led to considerable progress in physics and oceanography, as well as in mathematics. I will review some of the main observations made by Zakharov, and report on some recent results about the Cauchy problem which are directly inspired by his program.