Darryl Holm
![Darryl Holm at Imperial College London](https://upload.wikimedia.org/wikipedia/commons/3/38/Darryl_Holm.jpg)
Darryl's main research contributions have been in nonlinear science, from integrable to chaotic behaviour, from solitons to turbulence, and from fluid dynamics to shape analysis. Much of this work is based on Lie symmetry reduction from Hamilton's principle. Darryl's main activities have been based on his use of geometric mechanics to derive and analyse nonlinear evolution equations for multiscale phenomena. Applications of these equations range from climate modelling and ocean circulation, to template matching in imaging science, to telecommunications. The solution behavior of these equations includes solitons (governed by the Camassa-Holm equation), turbulence (modelled by the LANS-alpha equation), template marching for biomedical images (modelled by the EPDiff equation) and the method of stochastic advection by Lie transport (SALT) for uncertainty quantification and reduction of uncertainty via data assimilation for upper ocean dynamics.
With Roberto Camassa, he derived the Camassa-Holm equation, which is an integrable partial differential equation for nonlinear shallow water waves, whose solutions in the dispersionless limit are peaked solitons, so called peakons, published in 1993. In 2005, he moved to Imperial College London as Professor of Applied Mathematics and Mathematical Physics, supported by a Wolfson fellowship, and was awarded an ERC advanced grant in 2011. Recently Darryl received an ERC synergy grant together with Dan Crisan, Etienne Memin and Bertrand Chapron to perform research on stochastic transport in the upper ocean (2020-2025).
He has written a number of books in geometric mechanics. Provided by Wikipedia
1
Published: 2022.
Superior document: Mathematics of Planet Earth Series ; v.10
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2
Published: 2023.
Superior document: Mathematics of Planet Earth Series ; v.11
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3
Published: 2022.
Superior document: Mathematics of Planet Earth
4
Published: 2024.
Superior document: Mathematics of Planet Earth, 11