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Abstract:
This session concerns recent developments in the theory of nonlinear wave propagations in a media where dispersion and/or dissipation cannot be ignored. Mathematical problems connected with nonlinear dispersive waves arise in many different practical applications, such as surface or internal waves in various fluid and Plasma flows. Over the last thirty years, the field of nonlinear dispersive waves is very active and many new ideas and techniques have emerged. We expect the session to feature a range of work, including modeling, mathematical theory, numerical simulation and applications. Fundamental questions of well-posedness and long-time asymptotics will be a focus of some of the presentations, while comparisons between various models and with laboratory and field studies will also be featured. On the mathematical side, both initial-value problems and initial-boundary-value problems will be dealt with.
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