Localized structures in fluid flows
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If you have a question about this talk, please contact Mustapha Amrani.
Mathematical Modelling and Analysis of Complex Fluids and Active Media in Evolving Domains
In these two lectures I will show examples of spatially localized structures arising in different types of fluid flows and will describe physical and mathematical approaches that have proved useful to understanding the origin of localization and the properties of the localized structures that result. I will illustrate these ideas using model equations such as the SwiftHohenberg equation and the conserved SwiftHohenberg equation and apply the results to systems modeled by the NavierStokes equation on the one hand and dynamical density function theory on the other. I will also remark on the motion of fronts separating different but structured phases and relate the growth of localized structures to the problem of structure formation on growing domains.
This talk is part of the Isaac Newton Institute Seminar Series series.
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