Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



+44 (0)20 7594 8531d.holm Website




6M27Huxley BuildingSouth Kensington Campus





Darryl's main research interests lie in nonlinear science – ranging from integrable to chaotic behavior, from solitons to turbulence, and then on to shape analysis. Most of his work is based on Lie symmetry reduction of Hamilton's principle, often by smooth invertible maps such as the relabelling invariance in Eulerian fluid dynamics. In these fields, he is particularly interested in emergent singular phenomena.

Darryl Holm's personal webpage can be found at


Link to archived papers 
Link to papers reviewed at MathSciNet 

Plenary Lectures

  • International Meeting in Direct and Large Eddy Simulations, Munich, 2003
  • Dynamics Days, Scottsdale, Arizona, 2003
  • Fred Howes Memorial Workshop, MSRI, Berkeley, California, 2001

Selected Publications

Journal Articles

Crisan D, Flandoli F, Holm DD, 2019, Solution properties of a 3D stochastic euler fluid equation, Journal of Nonlinear Science, Vol:29, ISSN:0938-8974, Pages:813-870

Gay-Balmaz F, Holm DD, 2018, Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows, Journal of Nonlinear Science, Vol:28, ISSN:0938-8974, Pages:873-904

Holm DD, Tyranowski TM, 2018, New variational and multisymplectic formulations of the Euler-Poincare equation on the Virasoro-Bott group using the inverse map, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol:474, ISSN:1364-5021

Cruzeiro AB, Holm DD, Ratiu TS, 2018, Momentum Maps and Stochastic Clebsch Action Principles, Communications in Mathematical Physics, Vol:357, ISSN:0010-3616, Pages:873-912

Cotter CJ, Gottwald G, Holm DD, 2017, Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol:473, ISSN:1364-5021

Arnaudon A, Lopez MC, Holm D, 2017, Un-reduction in field theory, Letters in Mathematical Physics, Vol:108, ISSN:0377-9017, Pages:225-247

Arnaudon A, De Castro AL, Holm D, 2017, Noise and Dissipation on Coadjoint Orbits, Journal of Nonlinear Science, Vol:28, ISSN:0938-8974, Pages:91-145

Holm DD, Tyranowski TM, 2016, Variational Principles for Stochastic Soliton Dynamics, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol:472, ISSN:0080-4630

Holm DD, 2015, Variational principles for stochastic fluid dynamics, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol:471, ISSN:1364-5021

Holm DD, Tronci C, 2012, Multiscale turbulence models based on convected fluid microstructure, Journal of Mathematical Physics, Vol:53, ISSN:1089-7658

Brody DC, Holm DD, Meier DM, 2012, Quantum splines, Physical Review Letters, Vol:109, ISSN:0031-9007

Holm DD, Ivanov RI, Percival JR, 2012, <i>G</i>-Strands, Journal of Nonlinear Science, Vol:22, ISSN:0938-8974, Pages:517-551

Gay-Balmaz F, Holm DD, Meier DM, et al., 2012, Invariant Higher-Order Variational Problems, Communications in Mathematical Physics, Vol:309, ISSN:0010-3616, Pages:413-458

Cotter CJ, Holm DD, Ivanov RI, et al., 2011, Waltzing peakons and compacton pairs in a cross-coupled Camassa-Holm equation, Journal of Physics A - Mathematical and Theoretical, Vol:44, ISSN:1751-8113

Bruveris M, Gay-Balmaz F, Holm DD, et al., 2011, The Momentum Map Representation of Images, Journal of Nonlinear Science, Vol:21, ISSN:0938-8974, Pages:115-150

Ellis DCP, Gay-Balmaz F, Holm DD, et al., 2010, Symmetry Reduced Dynamics of Charged Molecular Strands, Archive for Rational Mechanics and Analysis, Vol:197, ISSN:0003-9527, Pages:811-902

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