World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
66
Citations
14649
World Ranking
364
National Ranking
16

Frank Merle 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 Frank Merle 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: 143 publications — 34th percentile

34% of scientists in this discipline score the same or lower.

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

Frank Merle 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 Frank Merle 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: 66 D-Index — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2020 - Member of Academia Europaea

Overview

Frank Merle is affiliated with CY Cergy Paris University in France. Their research primarily focuses on various aspects of mathematics, with a significant emphasis on mathematical physics and applied mathematics.

Their work spans multiple advanced topics, including:

  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Dynamics and Pattern Formation
  • Nonlinear Photonic Systems
  • Mathematical Biology Tumor Growth

Frank Merle has contributed to a number of publications in various well-known venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • HAL (Le Centre pour la Communication Scientifique Directe)
  • Archive for Rational Mechanics and Analysis
  • Journal of Differential Equations
  • Discrete and Continuous Dynamical Systems

Recent papers by Frank Merle cover topics related to nonlinear equations and blow-up solutions, showcasing their ongoing interest in the mathematical analysis of evolutionary phenomena:

  • The Blow-Up Rate for a Non-Scaling Invariant Semilinear Heat Equation, 2022, Archive for Rational Mechanics and Analysis
  • Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer-Meinhardt system, 2020, arXiv (Cornell University)
  • A Turing mechanism in order to explain the patchy nature of Crohn's disease, 2021, Journal of Mathematical Biology
  • Blowup solutions for the nonlocal shadow limit model of a singular Gierer-Meinhardt system with critical parameters, 2022, Journal of Differential Equations
  • Construction of Blowup Solutions for the Complex Ginzburg-Landau Equation with Critical Parameters, 2023, Memoirs of the American Mathematical Society

Collaborative efforts are a notable part of their work, frequently coauthoring with several researchers. Regular collaborators include:

  • Giao Ky Duong
  • Nejla Nouaili
  • Éric Ogier-Denis
  • Mohamed Ali Hamza
  • Nikos I. Kavallaris

The scientist's work bridges theoretical and applied realms, often exploring the stability, dynamics, and controllability of complex differential equations. Their research contributes to an enhanced understanding of nonlinear systems both in physics and biology, tackling problems related to pattern formation, system blow-up behaviour, and mathematical modeling of diseases.

In recognition of their scientific contributions, Frank Merle was named a Member of Academia Europaea in 2020.

Best Publications

  • Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case

    Carlos E. Kenig;Frank Merle

  • Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)eu in two dimensions

    Haïm Brezis;Frank Merle

  • Global well-posedness, scattering and blow-up for the energy-critical focusing non-linear wave equation

    Carlos E. Kenig;Frank Merle

  • The blow-up dynamic and upper bound on the blow-up rate for critical nonlinear Schrödinger equation

    Frank Merle;Pierre Raphaël

  • Sharp upper bound on the blow-up rate for the critical nonlinear Schrödinger equation

    Frank Merle;Pierre Raphael

  • On universality of blow-up profile for L 2 critical nonlinear Schrödinger equation

    Frank Merle;Frank Merle;Pierre Raphael

  • Determination of blow-up solutions with minimal mass for nonlinear Schrödinger equations with critical power

    F. Merle

  • Construction of solutions with exactly $k$ blow-up points for the Schrödinger equation with critical nonlinearity

    Frank Merle

  • Compactness at blow-up time for L2 solutions of the critical nonlinear Schrödinger equation in 2D

    F. Merle;L. Vega

  • Profiles and Quantization of the Blow Up Mass for Critical Nonlinear Schrödinger Equation

    Frank Merle;Frank Merle;Pierre Raphael

  • L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity

    Frank Merle;Yoshio Tsutsumi

  • Existence of blow-up solutions in the energy space for the critical generalized KdV equation

    Frank Merle

  • A Liouville theorem for the critical generalized Korteweg de Vries equation

    Yvan Martel;Franck Merle;Franck Merle

  • Stability and Asymptotic Stability for Subcritical gKdV Equations

    Yvan Martel;Frank Merle;Tai-Peng Tsai

  • Asymptotic stability of solitons of the subcritical gKdV equations revisited

    Yvan Martel;Franck Merle

  • Instability of solitons for the critical generalized Korteweg—de Vries equation

    Yvan Martel;Franck Merle

  • Classification of the radial solutions of the focusing, energy-critical wave equation

    Thomas Duyckaerts;Carlos Kenig;Frank Merle

  • Stability of the blow-up profile for equations of the type ut=Δu+|u|p−1u

    Frank Merle;Hatem Zaag

  • On Nonexistence of type II blowup for a supercritical nonlinear heat equation

    Hiroshi Matano;Frank Merle

  • Optimal estimates for blowup rate and behavior for nonlinear heat equations

    Frank Merle;Hatem Zaag

Frequent Co-Authors

Yvan Martel
Yvan Martel École Polytechnique
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Pierre Raphaël
Pierre Raphaël Université Côte d'Azur
Igor Rodnianski
Igor Rodnianski Princeton University
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Kenji Nakanishi
Kenji Nakanishi Kyoto University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in expanding their career options beyond a Mathematics degree, exploring related online degrees can be a smart choice. Many professionals consider MBA programs to gain essential business and leadership skills. Those looking for flexibility should check out online mba accepting transfer credits, which allow students to leverage prior coursework and accelerate their studies.

Data analytics is another promising field closely linked to Mathematics. Pursuing a data analytics masters can open doors in industries like finance, healthcare, and tech, combining mathematical theory with practical insights. Many students also seek out programs that are accessible and easier to get into. Resources highlighting mba programs easy to get into provide valuable guidance on finding graduate options that balance quality with admissions flexibility.

For those prioritizing convenience and remote learning, identifying the easiest online mba program can be essential. These programs often offer streamlined curricula and supportive environments, making them ideal for working professionals or students balancing multiple commitments. Exploring these related paths can enrich a Mathematics background and enhance career prospects.

Best Scientists Citing Frank Merle

Trending Scientists

Recently Published Articles