Nonlinear Waves

Special Topic Math Course

Yuri V. Lvov lvovy$@$rpi.edu

MATH 6590 M Th 10:00-11:50

eaton.math.rpi.edu/$\tilde a$ lvovy/Class/WT

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Nonlinear Waves are present everywhere - in oceans, atmosphere, solar wind, semiconductors. This course will present a general methodology on how to describe such nonlinear waves and their interactions, and how to predict these waves.

We will begin with the general Hamiltonian description of waves, proceed to the dynamical processes of wave interactions, will study the statistical description of interacting nonlinear waves, and, if time allows and sufficient interest is present, we will conclude the semester by studying the diagrammatic technique for non-equilibrium statistical mechanics.

This course is designed to bring you to the forefront of this active research area. Prerequisites are advanced calculus and child-like curiosity.

MATH 6590 M Th 10:00-11:50

More detailed information is available at

http:$//$www.rpi.edu$/$$\tilde{ }$ lvovy