What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Classical mechanics (35.86%)
- Mathematical analysis (35.17%)
- Mathematical physics (19.31%)
What were the highlights of his more recent work (between 2015-2021)?
- Mathematical analysis (35.17%)
- Applied mathematics (10.34%)
- Fluid dynamics (9.66%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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