Summary
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 http://www.ma.ic.ac.uk/~dholm/
Publications
Link to arxiv.org 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, G-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