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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Craik-Leibovich Equation, Distinguished Limits, Drifts, and Pseudo-Diffusion

## Craik-Leibovich Equation, Distinguished Limits, Drifts, and Pseudo-DiffusionAdd to your list(s) Download to your calendar using vCal - Vladimir Vladimirov (Sultan Qaboos University; University of York)
- Tuesday 08 August 2017, 13:30-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. NWWW01 - Nonlinear water waves The Craik-Leibovich Equation (CLE) describes the Langmuir circulations in the upper layer of the oceans, lakes, etc. In this lecture we consider CLE and the related notions of drifts and pseudo-diffusion. In our approach, CLE describes general vortex dynamics of oscillating flows, not only the Langmuir circulations. A number of new results on CLE are presented. An important elements of our presentation is the systematic deriving of boundary conditions, which represents a more difficult tusk than the deriving of averaged equations. We also consider a 'linearized’ version of CLE , which is different from that obtained by a straightforward linearization of an averaged equation. A possible tree-timing procedure for the generalisation of CLE is proposed. The effects of viscosity and density stratification has been additionally re-examined. We also discuss two generalisations of CLE . First one is a Magneto-Hydro-Dynamic version of CLE . It may have relation to the MHD dy namo and to the forming of various flows and phenomena in stars, galaxies etc. Second generalisation deals with a version of CLE for compressible fluid, where similar to CLE equations appears due to oscillations caused be acoustic waves. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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