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Abstract:
This session will focus on common issues associated with analytical methods for dispersive and dissipative nonlinear partial differential equations, including wave and dispersive equations which have been proposed as models for many basic wave phenomena from Bose-Einstein condensation to formation
of freak waves in an ocean, and kinetic equations that describe dynamics of a dilute gas or plasma, and are at the core of applied analysis, probability
and statistical physics. The aim of the session is to allow exchange of ideas which could help in building an interdisciplinary perspective, including addressing derivation of these equations from microscopic complex interacting systems.
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