2026 Darryl D. Holm: Mathematics Researcher – H-Index, Publications & Awards

D-Index & Metrics

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	74	213	180	12	9	435	27129
Engineering and Technology	69	1106	1046	72	64	389	22740

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

213

180

435

27129

Engineering and Technology

1106

1046

389

22740

Mathematics

D-Index

Citations

27129

World Ranking

213

National Ranking

Engineering and Technology

D-Index

Citations

22740

World Ranking

1106

National Ranking

Research.com Recognitions

2026 - Research.com Mathematics in United Kingdom Leader Award
2025 - Research.com Mathematics in United Kingdom Leader Award
2022 - Research.com Mathematics in United Kingdom Leader Award

Overview

Darryl D. Holm is affiliated with Imperial College London in the United Kingdom. Their research primarily spans the fields of Earth and Planetary Sciences, Physics and Astronomy, and Engineering, with significant contributions in several subfields and specialized topics.

The main areas of their research include:

Fluid Dynamics and Turbulent Flows
Oceanographic and Atmospheric Processes
Ocean Waves and Remote Sensing
Nonlinear Waves and Solitons
Meteorological Phenomena and Simulations
Nonlinear Photonic Systems
Climate variability and models

The notable subfields where they have published extensively are:

Oceanography
Statistical and Nonlinear Physics
Computational Mechanics
Atmospheric Science
Global and Planetary Change

Their research output includes recent papers such as:

"Data Assimilation for a Quasi-Geostrophic Model with Circulation-Preserving Stochastic Transport Noise" (2020, Journal of Statistical Physics)
"A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation" (2020, SIAM/ASA Journal on Uncertainty Quantification)
"Variational principles for fluid dynamics on rough paths" (2022, Advances in Mathematics)
"Stochastic effects of waves on currents in the ocean mixed layer" (2021, Journal of Mathematical Physics)
"The bohmion method in nonadiabatic quantum hydrodynamics" (2021, Journal of Physics A Mathematical and Theoretical)

The frequent co-authors they collaborate with include:

Dan Crisan
Ruiao Hu
Oliver D. Street
Wei Pan
Colin J. Cotter

Their work has been published repeatedly in venues such as:

arXiv (Cornell University)
Nonlinearity
Physica D Nonlinear Phenomena
Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
ARROW@Dublin Institute of Technology (Dublin Institute of Technology)

In terms of book publications, they have contributed to titles published by Springer International Publishing and WORLD SCIENTIFIC (EUROPE) eBooks, including:

Stochastic Transport in Upper Ocean Dynamics (2022)
Stochastic Transport in Upper Ocean Dynamics II (2023)
Geometric Mechanics (2024)

Best Publications

An integrable shallow water equation with peaked solitons

Roberto Camassa;Darryl D. Holm

4187
Citations
Nonlinear stability of fluid and plasma equilibria

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

1180
Citations
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

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

1146
Citations
A New Integrable Shallow Water Equation

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

1129
Citations
A new integrable equation with peakon solutions

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

907
Citations
The Navier–Stokes-alpha model of fluid turbulence

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

534
Citations
An integrable shallow water equation with linear and nonlinear dispersion.

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

511
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

497
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

436
Citations
EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

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

418
Citations
Variational principles for stochastic fluid dynamics.

Darryl D. Holm

397
Citations
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions

Cristina Stoica;Tanya Schmah;Darryl D. Holm

366
Citations
On a Leray-α model of turbulence

Alexey Cheskidov;Alexey Cheskidov;Darryl D. Holm;Darryl D. Holm;Eric Olson;Edriss S. Titi;Edriss S. Titi

362
Citations
Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves

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

337
Citations
Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

Darryl D. Holm;Martin F. Staley

334
Citations
A connection between the Camassa–Holm equations and turbulent flows in channels and pipes

S. Chen;C. Foias;D. D. Holm;E. Olson

316
Citations
Low-dimensional behaviour in the complex Ginzburg-Landau equation

C R Doering;J D Gibbon;D D Holm;B Nicolaenko

314
Citations
Geometric Mechanics, Part Ii: Rotating, Translating And Rolling

Darryl D Holm

307
Citations
The Camassa-Holm equations and turbulence

S. Chen;C. Foias;C. Foias;D. D. Holm;E. Olson;E. Olson

280
Citations
On asymptotically equivalent shallow water wave equations

H.R. Dullin;H.R. Dullin;G.A. Gottwald;D.D. Holm;D.D. Holm

272
Citations

Frequent Co-Authors

Tudor S. Ratiu École Polytechnique Fédérale de Lausanne

Jerrold E. Marsden California Institute of Technology

John D. Gibbon Imperial College London

Bernardus J. Geurts University of Twente

Edriss S. Titi Texas A&M University

Dan Crisan Imperial College London

Carl M. Bender Washington University in St. Louis

Annick Pouquet National Center for Atmospheric Research

Wei Pan University of Hong Kong

Shiyi Chen Southern University of Science and Technology

External Links

Wikipedia of Darryl D. Holm Personal website of Darryl D. Holm Google Scholar page

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