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Frank Merle

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 66 364 301 16 13 143 14649

Frank Merle publications per year

The chart shows the history of publications by Frank Merle between 1988 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Frank Merle published across 38 years, from 1988 to 2025, averaging 4.7 papers a year. Output peaked at 16 publications in 2022. 10 of the 178 publications appeared in the last two years.

No. of publications
5 10 15
Bar chart. Horizontal axis: year, 1988 to 2025. Vertical axis: number of publications, 0 to 16. Peak 16 publications in 2022. 1988: 2 publications 1989: 1 publication 1990: 3 publications 1991: 1 publication 1992: 3 publications 1993: 1 publication 1994: 2 publications 1995: 2 publications 1996: 3 publications 1997: 4 publications 1998: 3 publications 1999: 0 publications 2000: 3 publications 2001: 6 publications 2002: 8 publications 2003: 3 publications 2004: 2 publications 2005: 8 publications 2006: 5 publications 2007: 3 publications 2008: 8 publications 2009: 7 publications 2010: 5 publications 2011: 10 publications 2012: 6 publications 2013: 7 publications 2014: 5 publications 2015: 3 publications 2016: 5 publications 2017: 4 publications 2018: 4 publications 2019: 5 publications 2020: 2 publications 2021: 5 publications 2022: 16 publications 2023: 13 publications 2024: 6 publications 2025: 4 publications
1988 2025

178 publications in total across all disciplines

View publications per year as a table
Frank Merle: publications per year, 1988 to 2025
Year Publications
1988 2
1989 1
1990 3
1991 1
1992 3
1993 1
1994 2
1995 2
1996 3
1997 4
1998 3
1999 0
2000 3
2001 6
2002 8
2003 3
2004 2
2005 8
2006 5
2007 3
2008 8
2009 7
2010 5
2011 10
2012 6
2013 7
2014 5
2015 3
2016 5
2017 4
2018 4
2019 5
2020 2
2021 5
2022 16
2023 13
2024 6
2025 4
Total 178
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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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 142–146 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112 143
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 66 D-Index, is where this scientist sits. 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29 66
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13
85 6
86+ 99
Download as CSV

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
Tristan Rivière
Tristan Rivière ETH Zurich
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Kenji Nakanishi
Kenji Nakanishi Kyoto University

External Links

Wikipedia of Frank Merle Personal website of Frank Merle Google Scholar page

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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

Wilhelm Schlag

Wilhelm Schlag

Yale University

Publications: 51

Carlos E. Kenig

Carlos E. Kenig

University of Chicago

Publications: 51

Yvan Martel

Yvan Martel

École Polytechnique

Publications: 51

Monica Visan

Monica Visan

University of California, Los Angeles

Publications: 42

Kenji Nakanishi

Kenji Nakanishi

Kyoto University

Publications: 35

Rowan Killip

Rowan Killip

University of California, Los Angeles

Publications: 32

Philippe Souplet

Philippe Souplet

Paris 13 University

Publications: 31

Pierre Raphaël

Pierre Raphaël

Université Côte d'Azur

Publications: 27

Changxing Miao

Changxing Miao

Institute of Applied Physics and Computational Mathematics

Publications: 26

Monica Musso

Monica Musso

University of Bath

Publications: 24

Juncheng Wei

Juncheng Wei

Chinese University of Hong Kong

Publications: 24

Victor A. Galaktionov

Victor A. Galaktionov

University of Bath

Publications: 19

Manuel del Pino

Manuel del Pino

University of Bath

Publications: 19

Terence Tao

Terence Tao

University of California, Los Angeles

Publications: 19

Daniel Tataru

Daniel Tataru

University of California, Berkeley

Publications: 17

Nader Masmoudi

Nader Masmoudi

Courant Institute of Mathematical Sciences

Publications: 16

Trending Scientists

Janine Altmüller

Janine Altmüller

University of Cologne

Ka Wai Eric Cheng

Ka Wai Eric Cheng

Hong Kong Polytechnic University

Devon E. Hinton

Devon E. Hinton

Harvard University

Grant T. Harris

Grant T. Harris

University of Toronto

Jan van der Ende

Jan van der Ende

Erasmus University Rotterdam

Félix Viana

Félix Viana

Spanish National Research Council

Chandra A. Madramootoo

Chandra A. Madramootoo

McGill University

Ni-Bin Chang

Ni-Bin Chang

University of Central Florida

Borries Demeler

Borries Demeler

University of Lethbridge

Alfred I. Tauber

Alfred I. Tauber

Boston University

Chao Yuan

Chao Yuan

Chinese Academy of Sciences

Gérard M. London

Gérard M. London

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Benson Farb

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