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- Darryl D. Holm

Mathematics

UK

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
71
Citations
23,517
402
World Ranking
174
National Ranking
10

Engineering and Technology
D-index
64
Citations
19,470
355
World Ranking
753
National Ranking
52

2023 - Research.com Mathematics in United Kingdom Leader Award

2022 - Research.com Mathematics in United Kingdom Leader Award

- Quantum mechanics
- Mathematical analysis
- Geometry

His primary scientific interests are in Mathematical analysis, Classical mechanics, Turbulence, Mathematical physics and Nonlinear system. His study on Mathematical analysis is mostly dedicated to connecting different topics, such as Korteweg–de Vries equation. His research on Classical mechanics also deals with topics like

- Length scale, which have a strong connection to Mean flow and Mean motion,
- Mechanics, which have a strong connection to Mesoscale meteorology.

His study explores the link between Turbulence and topics such as Statistical physics that cross with problems in Magnetosphere particle motion, Curse of dimensionality, Dimension and Intermittency. His studies deal with areas such as Degasperis–Procesi equation, Partial differential equation and Hamiltonian as well as Mathematical physics. His biological study spans a wide range of topics, including Wave equation, Shallow water equations, Peakon and Dispersionless equation.

- An integrable shallow water equation with peaked solitons (2887 citations)
- The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories (927 citations)
- A New Integrable Shallow Water Equation (781 citations)

Darryl D. Holm spends much of his time researching Classical mechanics, Mathematical analysis, Mathematical physics, Turbulence and Hamiltonian. His study in Classical mechanics is interdisciplinary in nature, drawing from both Magnetohydrodynamics, Vortex, Mechanics, Vorticity and Poisson bracket. Darryl D. Holm interconnects Fluid dynamics and Nonlinear system in the investigation of issues within Mathematical analysis.

His Mathematical physics study also includes fields such as

- Lie algebra that intertwine with fields like Diffeomorphism,
- Partial differential equation and related Differential equation. His research ties Statistical physics and Turbulence together. His research on Peakon often connects related areas such as Camassa–Holm equation.

- Classical mechanics (35.86%)
- Mathematical analysis (35.17%)
- Mathematical physics (19.31%)

- Mathematical analysis (35.17%)
- Applied mathematics (10.34%)
- Fluid dynamics (9.66%)

Darryl D. Holm focuses on Mathematical analysis, Applied mathematics, Fluid dynamics, Stochastic modelling and Statistical physics. His Mathematical analysis research integrates issues from Advection, Incompressible flow and Nonlinear system. In his research on the topic of Nonlinear system, Mathematical physics and Variational method is strongly related with Hamiltonian.

As a part of the same scientific family, Darryl D. Holm mostly works in the field of Mathematical physics, focusing on Flow map and, on occasion, Breaking wave, Peakon, Camassa–Holm equation and Diffeomorphism. His work carried out in the field of Fluid dynamics brings together such families of science as Eulerian path, Turbulence, Circulation and Perfect fluid. His Statistical physics research is multidisciplinary, relying on both Factorization, Conservation law, Geometric mechanics and Hamiltonian system.

- Solution Properties of a 3D Stochastic Euler Fluid Equation (59 citations)
- Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics (54 citations)
- Modelling uncertainty using circulation-preserving stochastic transport noise in a 2-layer quasi-geostrophic model (40 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

Darryl D. Holm mainly focuses on Applied mathematics, Stochastic modelling, Euler's formula, Variational principle and Mathematical analysis. Darryl D. Holm has researched Applied mathematics in several fields, including Eulerian path, Geometric mechanics, Circulation, Stochastic partial differential equation and Fluid dynamics. His Fluid dynamics study combines topics from a wide range of disciplines, such as Space, Turbulence, Ideal and Perfect fluid.

He has included themes like Moment map and Mathematical physics in his Variational principle study. Darryl D. Holm works on Mathematical physics which deals in particular with Camassa–Holm equation. His biological study spans a wide range of topics, including Advection and Lie algebra.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

An integrable shallow water equation with peaked solitons

Roberto Camassa;Darryl D. Holm.

Physical Review Letters **(1993)**

3664 Citations

Nonlinear stability of fluid and plasma equilibria

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein.

Physics Reports **(1985)**

1112 Citations

The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu.

Advances in Mathematics **(1998)**

1027 Citations

A New Integrable Shallow Water Equation

Roberto Camassa;Darryl D. Holm;James M. Hyman.

Advances in Applied Mechanics **(1994)**

988 Citations

A new integrable equation with peakon solutions

A. Degasperis;A. Degasperis;Darryl D. Holm;Andrew N.W. Hone.

Theoretical and Mathematical Physics **(2002)**

779 Citations

The Navier–Stokes-alpha model of fluid turbulence

Ciprian Foias;Darryl D. Holm;Edriss S. Titi.

Physica D: Nonlinear Phenomena **(2001)**

487 Citations

The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory

Ciprian Foias;Ciprian Foias;Darryl D. Holm;Edriss S. Titi.

Journal of Dynamics and Differential Equations **(2002)**

468 Citations

An integrable shallow water equation with linear and nonlinear dispersion.

Holger R. Dullin;Georg A. Gottwald;Darryl D. Holm.

Physical Review Letters **(2001)**

455 Citations

Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow

Shiyi Chen;Ciprian Foias;Ciprian Foias;Darryl D. Holm;Eric Olson;Eric Olson.

Physical Review Letters **(1998)**

405 Citations

EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu.

Physical Review Letters **(1998)**

386 Citations

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