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Fabrice Planchon

Fabrice Planchon

Sorbonne University
France

Fabrice Planchon publications per year

The chart shows the history of publications by Fabrice Planchon between 1994 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Fabrice Planchon published across 32 years, from 1994 to 2025, averaging 2.5 papers a year. Output peaked at 10 publications in 2002. 2 of the 79 publications appeared in the last two years.

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

79 publications in total across all disciplines

View publications per year as a table
Fabrice Planchon: publications per year, 1994 to 2025
Year Publications
1994 1
1995 0
1996 4
1997 0
1998 2
1999 3
2000 6
2001 0
2002 10
2003 8
2004 3
2005 1
2006 5
2007 3
2008 5
2009 3
2010 0
2011 4
2012 4
2013 3
2014 2
2015 0
2016 1
2017 1
2018 1
2019 0
2020 2
2021 4
2022 1
2023 0
2024 1
2025 1
Total 79
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Fabrice Planchon 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 Fabrice Planchon 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. 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+

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
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
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
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Fabrice Planchon 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 Fabrice Planchon 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. 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+

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
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
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
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Overview

Fabrice Planchon is affiliated with Sorbonne University in France and focuses primarily on mathematics, with significant contributions in mathematical physics. Their research encompasses applied mathematics and related subfields such as control and systems engineering, mechanics of materials, and nuclear and high energy physics.

The scientist's work addresses advanced mathematical physics problems, mathematical analysis and transform methods, numerical methods in inverse problems, stability and controllability of differential equations, advanced harmonic analysis, nonlinear partial differential equations, and numerical methods in engineering.

Frequent coauthors include Nicola Visciglia, Oana Ivanovici, Gilles Lebeau, and Nikolay Tzvetkov, reflecting ongoing collaboration within their research network.

Fabrice Planchon's recent publications demonstrate engagement with nonlinear dispersive equations and wave phenomena. Selected papers include:

  • Modified energies for the periodic generalized KdV equation and applications, 2022, Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Growth of Sobolev norms for 2d NLS with harmonic potential, 2022, Revista Matemática Iberoamericana

Other notable works connected to their collaborators in related areas are:

  • Dispersion for the Wave Equation Inside Strictly Convex Domains II: The General Case, 2023, Annals of PDE
  • New counterexamples to Strichartz estimates for the wave equation on a 2D model convex domain, 2021, Journal de l'École polytechnique - Mathématiques
  • Strichartz estimates for the wave equation on a 2D model convex domain, 2021, Journal of Differential Equations

The venues where Fabrice Planchon frequently publishes include:

  • Journal of Differential Equations
  • arXiv (Cornell University)
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • Annals of PDE
  • Journal de l'École polytechnique - Mathématiques

Their selected research contributions cover topics important for understanding the analytical and numerical aspects of wave equations, Sobolev norm growth, and dispersive phenomena in mathematical physics.

Best Publications

  • Strichartz estimates for the wave and Schrödinger equations with the inverse-square potential

    Nicolas Burq;Fabrice Planchon;John G. Stalker;A.Shadi Tahvildar-Zadeh

  • Self-similar solutions for navier-stokes equations in

    M. Cannone;F Planchon

  • Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay

    Nicolas Burq;Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  • Solutions auto-similaires des équations de Navier-Stokes

    M. Cannone;Y. Meyer;F. Planchon

  • BILINEAR VIRIAL IDENTITIES AND APPLICATIONS

    Fabrice Planchon;Luis Vega

  • Global strong solutions in Sobolev or Lebesgue spaces to the incompressible Navier-Stokes equations in $\mathbb {R}^3$

    F. Planchon

  • Asymptotics and stability for global solutions to the Navier-Stokes equations

    Isabelle Gallagher;Dragos Iftimie;Fabrice Planchon

  • Global existence for energy critical waves in 3-d domains

    Nicolas Burq;Gilles Lebeau;Fabrice Planchon

  • On well-posedness for the Benjamin-Ono equation

    Nicolas Burq;Fabrice Planchon

  • On global infinite energy solutions to the Navier-Stokes equations in two dimensions

    Isabelle Gallagher;Fabrice Planchon

  • Asymptotic behavior of global solutions to the Navier-Stokes equations in R3

    Fabrice Planchon

  • $L^p$ Estimates for the wave equation with the inverse-square potential

    Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  • Dispersive estimate for the wave equation with the inverse-square potential

    Fabrice Planchon;John G. Stalker;A. Shadi Tahvildar-Zadeh

  • On the growth of Sobolev norms for NLS on 2- and 3-dimensional manifolds

    Fabrice Planchon;Nikolay Tzvetkov;Nicola Visciglia

  • On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations

    Marco Cannone;Fabrice Planchon

  • A profile decomposition approach to the $$L^\infty _t(L^{3}_x)$$ Navier–Stokes regularity criterion

    Isabelle Gallagher;Gabriel S. Koch;Fabrice Planchon

  • Existence and Stability of the log–log Blow-up Dynamics for the L 2-Critical Nonlinear Schrödinger Equation in a Domain

    Fabrice Planchon;Pierre Raphaël

  • Blow-up of critical Besov norms at a potential Navier-Stokes singularity

    Isabelle Gallagher;Gabriel S. Koch;Fabrice Planchon

  • On the non-stationary Navier-Stokes equations with an external force

    Marco Cannone;Fabrice Planchon

  • An Extension of the Beale-Kato-Majda Criterion for the Euler Equations

    Fabrice Planchon

Frequent Co-Authors

Nicolas Burq
Nicolas Burq University of Paris-Saclay
Isabelle Gallagher
Isabelle Gallagher École Normale Supérieure
Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Nader Masmoudi
Nader Masmoudi Courant Institute of Mathematical Sciences
Luis Vega
Luis Vega University of the Basque Country
Ingrid Daubechies
Ingrid Daubechies Duke University
Pierre Raphaël
Pierre Raphaël Université Côte d'Azur

External Links

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Best Scientists Citing Fabrice Planchon

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Publications: 37

Changxing Miao

Changxing Miao

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Publications: 30

Nikolay Tzvetkov

Nikolay Tzvetkov

École Normale Supérieure de Lyon

Publications: 28

Ping Zhang

Ping Zhang

Chinese Academy of Sciences

Publications: 21

Luc Molinet

Luc Molinet

François Rabelais University

Publications: 20

Grzegorz Karch

Grzegorz Karch

University of Wrocław

Publications: 19

Nader Masmoudi

Nader Masmoudi

Courant Institute of Mathematical Sciences

Publications: 15

Terence Tao

Terence Tao

University of California, Los Angeles

Publications: 15

Sergey Zelik

Sergey Zelik

University of Surrey

Publications: 14

Hideo Kozono

Hideo Kozono

Waseda University

Publications: 14

Zhifei Zhang

Zhifei Zhang

Peking University

Publications: 14

Christopher D. Sogge

Christopher D. Sogge

Johns Hopkins University

Publications: 13

James Colliander

James Colliander

University of British Columbia

Publications: 13

Eduard Feireisl

Eduard Feireisl

Czech Academy of Sciences

Publications: 12

Carlos E. Kenig

Carlos E. Kenig

University of Chicago

Publications: 12

Luis Vega

Luis Vega

University of the Basque Country

Publications: 12

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