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 34 Citations 5,489 125 World Ranking 2025 National Ranking 128

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Partial differential equation

The scientist’s investigation covers issues in Mathematical analysis, Nonlinear system, Uniqueness, Type and Bounded function. His multidisciplinary approach integrates Mathematical analysis and Diffusion matrix in his work. The various areas that François Hamel examines in his Nonlinear system study include Infinity and Heat kernel.

His Uniqueness study integrates concerns from other disciplines, such as Sign and Connection. His studies deal with areas such as Shear flow, Partial differential equation, Boundary value problem, Excitable medium and Semi-elliptic operator as well as Bounded function. His research in Reaction–diffusion system intersects with topics in Monotonic function and Calculus.

His most cited work include:

  • Front propagation in periodic excitable media (363 citations)
  • Front propagation in periodic excitable media (363 citations)
  • Front propagation in periodic excitable media (363 citations)

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

François Hamel mainly focuses on Mathematical analysis, Reaction–diffusion system, Bounded function, Type and Uniqueness. His Mathematical analysis research is multidisciplinary, relying on both Constant, Shear flow, Bistability and Nonlinear system. His work investigates the relationship between Reaction–diffusion system and topics such as Initial value problem that intersect with problems in Infinity and Statistical physics.

He combines subjects such as Dirichlet boundary condition, Elliptic operator, Pure mathematics, Partial differential equation and Regular polygon with his study of Bounded function. He interconnects Wave equation and Applied mathematics in the investigation of issues within Uniqueness. His Boundary value problem research is multidisciplinary, incorporating elements of Streamlines, streaklines, and pathlines and Euler equations.

He most often published in these fields:

  • Mathematical analysis (67.72%)
  • Reaction–diffusion system (35.44%)
  • Bounded function (25.32%)

What were the highlights of his more recent work (between 2015-2021)?

  • Mathematical analysis (67.72%)
  • Bounded function (25.32%)
  • Reaction–diffusion system (35.44%)

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

François Hamel focuses on Mathematical analysis, Bounded function, Reaction–diffusion system, Pure mathematics and Type. The Mathematical analysis study combines topics in areas such as Streamlines, streaklines, and pathlines and Position. His Streamlines, streaklines, and pathlines study combines topics in areas such as Shear flow and Boundary value problem.

As a part of the same scientific family, François Hamel mostly works in the field of Bounded function, focusing on Regular polygon and, on occasion, Infinity, Open set, Obstacle problem and Combinatorics. His Reaction–diffusion system research includes themes of Steady state, Constant, Space, Monotonic function and Bistability. François Hamel works mostly in the field of Nonlinear system, limiting it down to concerns involving Initial value problem and, occasionally, Fractional Laplacian.

Between 2015 and 2021, his most popular works were:

  • Bistable transition fronts in RN (39 citations)
  • The logarithmic delay of KPP fronts in a periodic medium (39 citations)
  • Transition fronts for the Fisher-KPP equation (33 citations)

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

  • Mathematical analysis
  • Geometry
  • Partial differential equation

His scientific interests lie mostly in Mathematical analysis, Reaction–diffusion system, Bistability, Pure mathematics and Type. His research related to Stationary point and Boundary value problem might be considered part of Mathematical analysis. His Reaction–diffusion system study combines topics from a wide range of disciplines, such as Logarithm, Domain and Constant.

The concepts of his Bistability study are interwoven with issues in Sign, Scaling and Exponential stability. His Pure mathematics research incorporates elements of Order and Convex hull. François Hamel has researched Uniqueness in several fields, including Differential and Distribution.

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

Front propagation in periodic excitable media

Henri Berestycki;François Hamel;François Hamel.
Communications on Pure and Applied Mathematics (2002)

405 Citations

Front propagation in periodic excitable media

Henri Berestycki;François Hamel;François Hamel.
Communications on Pure and Applied Mathematics (2002)

405 Citations

Analysis of the periodically fragmented environment model: I--species persistence.

Henri Berestycki;François Hamel;Lionel Roques.
Journal of Mathematical Biology (2005)

334 Citations

Analysis of the periodically fragmented environment model: I--species persistence.

Henri Berestycki;François Hamel;Lionel Roques.
Journal of Mathematical Biology (2005)

334 Citations

The speed of propagation for KPP type problems. I: Periodic framework

Henry Berestycki;François Hamel;Nikolai Nadirashvili.
Journal of the European Mathematical Society (2005)

295 Citations

The speed of propagation for KPP type problems. I: Periodic framework

Henry Berestycki;François Hamel;Nikolai Nadirashvili.
Journal of the European Mathematical Society (2005)

295 Citations

Analysis of the periodically fragmented environment model: II—biological invasions and pulsating travelling fronts

Henri Berestycki;François Hamel;Lionel Roques.
Journal de Mathématiques Pures et Appliquées (2005)

266 Citations

Analysis of the periodically fragmented environment model: II—biological invasions and pulsating travelling fronts

Henri Berestycki;François Hamel;Lionel Roques.
Journal de Mathématiques Pures et Appliquées (2005)

266 Citations

Travelling Fronts and Entire Solutions¶of the Fisher-KPP Equation in ℝN

François Hamel;Nikolaï Nadirashvili.
Archive for Rational Mechanics and Analysis (2001)

248 Citations

Travelling Fronts and Entire Solutions¶of the Fisher-KPP Equation in ℝN

François Hamel;Nikolaï Nadirashvili.
Archive for Rational Mechanics and Analysis (2001)

248 Citations

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