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Mathematics

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

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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