World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
52
Citations
14203
World Ranking
945
National Ranking
70

John D. Gibbon publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where John D. Gibbon sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 175 publications — 51st percentile

51% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

John D. Gibbon D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where John D. Gibbon sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 52 D-Index — 74th percentile

74% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

John D. Gibbon is affiliated with Imperial College London in the United Kingdom. Their research spans several areas within engineering and mathematics, with a strong focus on fluid dynamics and related computational methods.

The primary fields of study include:

  • Engineering
  • Mathematics

The subfields of study cover:

  • Computational Mechanics
  • Applied Mathematics
  • Control and Systems Engineering
  • Environmental Engineering
  • Economics and Econometrics

Main topics of work are:

  • Fluid Dynamics and Turbulent Flows
  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations
  • Computational Fluid Dynamics and Aerodynamics
  • Wind and Air Flow Studies
  • Complex Systems and Time Series Analysis
  • Stochastic processes and financial applications

The scientist's recent publications include the following:

  • "A correspondence between the multifractal model of turbulence and the Navier-Stokes equations", 2022, published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • "Intermittency, cascades and thin sets in three-dimensional Navier-Stokes turbulence", 2020, published in Europhysics Letters (EPL)
  • "How close are shell models to the 3D Navier-Stokes equations?", 2021, published in Nonlinearity
  • "Identifying the multifractal set on which energy dissipates in a turbulent Navier-Stokes fluid", 2023, published in Physica D Nonlinear Phenomena
  • "An analytical and computational study of the incompressible Toner-Tu Equations", 2022, published in Physica D Nonlinear Phenomena

Frequent publication venues where this scientist has contributed include:

  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Nonlinearity
  • Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  • Europhysics Letters (EPL)

They have collaborated frequently with the following co-authors:

  • Dario Vincenzi
  • Daniel W. Boutros
  • B. Dubrulle
  • Kolluru Venkata Kiran
  • Nadia Bihari Padhan

Best Publications

  • Solitons and Nonlinear Wave Equations

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

  • Applied analysis of the Navier-Stokes equations

    Charles R. Doering;J. D. Gibbon

  • Application of scalar timing theory to individual trials.

    Russell M. Church;Warren H. Meck;John Gibbon

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

    Trevor B. Penney;John Gibbon;Warren H. Meck

  • Representation of time

    John Gibbon;Russell M. Church

  • A New Hierarchy of Korteweg-De Vries Equations

    P. J. Caudrey;R. K. Dodd;J. D. Gibbon

  • The complex Lorenz equations

    A.C. Fowler;J.D. Gibbon;M.J. McGuinness

  • Low-dimensional behaviour in the complex Ginzburg-Landau equation

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

  • Temporal integration in duration and number discrimination.

    Warren H. Meck;Russell M. Church;John Gibbon

  • Numerical Subtraction in the Pigeon: Evidence for a Linear Subjective Number Scale

    Elizabeth M. Brannon;Courtney J. Wusthoff;C.R. Gallistel;John Gibbon

  • On the form and location of the Psychometric Bisection Function for time

    John Gibbon

  • Solitons in nonlinear optics. I. A more accurate description of the 2π pulse in self-induced transparency

    J C Eilbeck;J D Gibbon;P J Caudrey;R K Bullough

  • Scalar expectancy theory and choice between delayed rewards.

    John Gibbon;Russell M. Church;Stephen Fairhurst;Alejandro Kacelnik

  • Weak and strong solutions of the complex Ginzburg-Landau equation

    Charles R. Doering;John D. Gibbon;C. David Levermore

  • The general-gamma distribution and reaction times☆

    William J. McGill;John Gibbon

  • On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation

    M. Bartuccelli;P. Constantin;C. R. Doering;J. D. Gibbon

  • Partial reinforcement in autoshaping with pigeons

    J. Gibbon;L. Farrell;C. M. Locurto;C. M. Locurto;H. J. Duncan

  • Temporal factors influencing the acquisition and maintenance of an autoshaped keypeck

    H. S. Terrace;J. Gibbon;L. Farrell;M. D. Baldock

  • The three-dimensional Euler equations : Where do we stand?

    J.D. Gibbon

  • The real and complex Lorenz equations in rotating fluids and lasers

    J.D. Gibbon;M.J. McGuinness

  • The sine-Gordon equation as a model classical field theory

    P. J. Caudrey;J. C. Eilbeck;J. D. Gibbon

Frequent Co-Authors

Darryl D. Holm
Darryl D. Holm Imperial College London
Charles R. Doering
Charles R. Doering University of Michigan–Ann Arbor
John Christopher Eilbeck
John Christopher Eilbeck Heriot-Watt University
Edriss S. Titi
Edriss S. Titi Texas A&M University
Peter Leth Christiansen
Peter Leth Christiansen Technical University of Denmark
Andrew C. Fowler
Andrew C. Fowler University of Limerick
Peter Constantin
Peter Constantin Princeton University
Edgar Knobloch
Edgar Knobloch University of California, Berkeley
Detlef Lohse
Detlef Lohse University of Twente
Annick Pouquet
Annick Pouquet National Center for Atmospheric Research

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