World's Best Scientists 2026 revealed!
Fabrice Planchon

Fabrice Planchon

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.

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: 82 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+

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

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.

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: 137 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.

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

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 studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. For those interested in leadership and management alongside their analytical skills, pursuing an easy online MBA can be a practical choice. These programs offer flexibility and manageable coursework, making them suitable for working professionals.

If your goal is to advance into executive roles with a focus on business strategy, considering one of the online DBA programs provides a rigorous yet accessible path. These affordable doctorates emphasize leadership, research, and decision-making skills that complement a strong mathematical foundation.

For mathematicians interested in finance, exploring masters in finance online programs equips you with deep financial knowledge and quantitative analysis tools, preparing you for careers in investment banking, risk management, and financial modeling.

Lastly, if you want to quickly enhance your business credentials, some of the quickest online MBA degree programs provide accelerated pathways that minimize time to completion without sacrificing quality, ideal for those eager to enter the workforce or shift careers rapidly.

Best Scientists Citing Fabrice Planchon

Trending Scientists

Recently Published Articles