D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 48 Citations 12,139 155 World Ranking 876 National Ranking 62

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

Mathematical physics, Mathematical analysis, Statistics, Partial differential equation and Time perception are his primary areas of study. His Mathematical physics study integrates concerns from other disciplines, such as Korteweg–de Vries equation, Transparency, Simple, Bounded function and Sine. His work carried out in the field of Mathematical analysis brings together such families of science as Lyapunov exponent and Nonlinear system.

His study explores the link between Partial differential equation and topics such as Differential equation that cross with problems in Nonlinear Schrödinger equation. He has included themes like Psychophysics and Communication in his Time perception study. In his research, Soliton is intimately related to Kadomtsev–Petviashvili equation, which falls under the overarching field of Schrödinger equation.

His most cited work include:

  • Solitons and Nonlinear Wave Equations (1591 citations)
  • Applied analysis of the Navier-Stokes equations (429 citations)
  • Coupled Temporal Memories in Parkinson's Disease: A Dopamine-Related Dysfunction (350 citations)

What are the main themes of his work throughout his whole career to date?

The scientist’s investigation covers issues in Mathematical analysis, Navier–Stokes equations, Vorticity, Mathematical physics and Classical mechanics. His Mathematical analysis research is multidisciplinary, relying on both Compressibility and Reynolds number. His Navier–Stokes equations research includes themes of Grashof number, Dimensionless quantity, Turbulence, Nonlinear system and Length scale.

His Mathematical physics study incorporates themes from Korteweg–de Vries equation, Omega, Partial differential equation, Singularity and Differential equation. John Gibbon mostly deals with First-order partial differential equation in his studies of Partial differential equation. His Classical mechanics research includes elements of Mechanics, Orthonormal frame and Lorenz system.

He most often published in these fields:

  • Mathematical analysis (43.13%)
  • Navier–Stokes equations (26.54%)
  • Vorticity (21.33%)

What were the highlights of his more recent work (between 2007-2020)?

  • Mathematical analysis (43.13%)
  • Vorticity (21.33%)
  • Navier–Stokes equations (26.54%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Mathematical analysis, Vorticity, Navier–Stokes equations, Mathematical physics and Reynolds number. His research integrates issues of Enstrophy and Dimensionless quantity in his study of Mathematical analysis. His studies in Vorticity integrate themes in fields like Turbulence, Sequence, Classical mechanics and Density gradient.

His studies deal with areas such as Nonlinear system, Gravitational singularity, Pure mathematics and Computation as well as Navier–Stokes equations. In his work, Disjoint sets is strongly intertwined with Nabla symbol, which is a subfield of Mathematical physics. His Reynolds number study combines topics in areas such as Inverse and Uniqueness.

Between 2007 and 2020, his most popular works were:

  • The three-dimensional Euler equations : Where do we stand? (118 citations)
  • Categorical Scaling of Duration Bisection in Pigeons (Columba livia), Mice (Mus musculus), and Humans (Homo sapiens) (78 citations)
  • The three-dimensional Euler equations: singular or non-singular? (28 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

John Gibbon mainly investigates Mathematical analysis, Vorticity, Navier–Stokes equations, Singularity and Euler equations. His Mathematical analysis research is multidisciplinary, incorporating elements of Scale and Reynolds number. His work deals with themes such as Dimensionless quantity and Linear algebra, which intersect with Vorticity.

His biological study spans a wide range of topics, including Inverse, Intermittency and Nonlinear system. His Singularity research incorporates themes from Mathematical physics, Gravitational singularity, Field, Incompressible euler equations and Upper and lower bounds. The study incorporates disciplines such as Critical value, Omega and Constant in addition to Mathematical physics.

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.

Best Publications

Solitons and Nonlinear Wave Equations

R. K. Dodd;H. C. Morris;J. C. Eilbeck;J. D. Gibbon.
(1982)

2935 Citations

Solitons and Nonlinear Wave Equations

R. K. Dodd;H. C. Morris;J. C. Eilbeck;J. D. Gibbon.
(1982)

2935 Citations

Applied analysis of the Navier-Stokes equations

Charles R. Doering;J. D. Gibbon.
(1995)

782 Citations

Applied analysis of the Navier-Stokes equations

Charles R. Doering;J. D. Gibbon.
(1995)

782 Citations

Application of scalar timing theory to individual trials.

Russell M. Church;Warren H. Meck;John Gibbon.
Journal of Experimental Psychology: Animal Behavior Processes (1994)

520 Citations

Coupled Temporal Memories in Parkinson's Disease: A Dopamine-Related Dysfunction

Chara Malapani;Brian Rakitin;R. Levy;Warren H. Meck.
Journal of Cognitive Neuroscience (1998)

451 Citations

Differential effects of auditory and visual signals on clock speed and temporal memory.

Trevor B. Penney;John Gibbon;Warren H. Meck.
Journal of Experimental Psychology: Human Perception and Performance (2000)

390 Citations

Differential effects of auditory and visual signals on clock speed and temporal memory.

Trevor B. Penney;John Gibbon;Warren H. Meck.
Journal of Experimental Psychology: Human Perception and Performance (2000)

390 Citations

Representation of time

John Gibbon;Russell M. Church.
Cognition (1990)

383 Citations

A New Hierarchy of Korteweg-De Vries Equations

P. J. Caudrey;R. K. Dodd;J. D. Gibbon.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1976)

335 Citations

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