### Multiscale Fluid Models with Convected Microstructure

Holm, D *(Imperial College London)*

Monday 01 October 2012, 10:30-11:00

Seminar Room 1, Newton Institute

#### Abstract

We will propose a multi-scale model of fluid dynamics which is loosely based on LF Richardson’s turbulence rhyme.

Big whirls have little whirls . . . and little whirls have lesser whirls . . .

The model will propose answers to the questions, “How do larger whirls affect the circulations of smaller whirls?” “How do the smaller scales participate in the interactions among the larger scales”.

The two key ideas are: (1) A WKB-like Fourier series decomposition of fluid velocity (2) Convection of microstructure

#### Presentation

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