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D-Index & Metrics

Mathematics

D-Index
44
Citations
11650
World Ranking
1550
National Ranking
90

Raphaël Danchin 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 Raphaël Danchin 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+

This scientist: 112 publications — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Raphaël Danchin 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 Raphaël Danchin 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+

This scientist: 44 D-Index — 58th percentile

58% of scientists in this discipline score the same or lower.

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

Overview

Raphaël Danchin is affiliated with Paris-Est Créteil University in France. Their research primarily focuses on topics within mathematics and engineering, with a strong concentration in applied mathematics and mathematical physics.

The main fields of study include:

  • Mathematics
  • Engineering

Within these fields, specific subfields of study are:

  • Applied Mathematics
  • Mathematical Physics
  • Control and Systems Engineering
  • Computational Mechanics
  • Statistical and Nonlinear Physics

The core topics covered in their work are:

  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Computational Fluid Dynamics and Aerodynamics
  • Gas Dynamics and Kinetic Theory
  • Geometric Analysis and Curvature Flows
  • Fluid Dynamics and Turbulent Flows

Raphaël Danchin has contributed publications to several academic venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Mathematische Annalen
  • Journal of Evolution Equations
  • Journal de Mathématiques Pures et Appliquées
  • Pure and Applied Analysis

Some of the recent papers authored or coauthored by Danchin include:

  • "Partially dissipative hyperbolic systems in the critical regularity setting: The multi-dimensional case," 2022, Journal de Mathématiques Pures et Appliquées
  • "Partially dissipative one-dimensional hyperbolic systems in the critical regularity setting, and applications," 2022, Pure and Applied Analysis
  • "Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity," 2021, Indiana University Mathematics Journal
  • "Global existence for partially dissipative hyperbolic systems in the Lp framework, and relaxation limit," 2022, Mathematische Annalen
  • "Global Unique Solutions for the Inhomogeneous Navier-Stokes equations with only Bounded Density, in Critical Regularity Spaces," 2022, Communications in Mathematical Physics

Frequent coauthors collaborating with Raphaël Danchin include:

  • Piotr B. Mucha
  • Timothée Crin-Barat
  • Patrick Tolksdorf
  • Shan Wang
  • Jean-Paul Adogbo

Best Publications

  • Fourier Analysis and Nonlinear Partial Differential Equations

    Hajer Bahouri;Jean-Yves Chemin;Raphaël Danchin

  • Global existence in critical spaces for compressible Navier-Stokes equations

    R. Danchin

  • A few remarks on the Camassa-Holm equation

    Unknown

  • A note on well-posedness for Camassa-Holm equation

    Raphaël Danchin

  • LOCAL THEORY IN CRITICAL SPACES FOR COMPRESSIBLE VISCOUS AND HEAT-CONDUCTIVE GASES

    Raphaël Danchin

  • Density-dependent incompressible viscous fluids in critical spaces

    R. Danchin

  • GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO

    Raphaël Danchin;Marius Paicu

  • A Lagrangian Approach for the Incompressible Navier-Stokes Equations with Variable Density

    Raphaël Danchin;Piotr Bogusław Mucha

  • Global Existence in Critical Spaces¶for Flows of Compressible¶Viscous and Heat-Conductive Gases

    Raphaël Danchin

  • A Global Existence Result for the Compressible Navier-Stokes Equations in the Critical L p Framework

    Frédéric Charve;Raphaël Danchin

  • Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data

    Raphaël Danchin;Marius Paicu

  • Existence of solutions for compressible fluid models of Korteweg type

    Raphaël Danchin;Benoı̂t Desjardins

  • Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux

    Raphaël Danchin;Marius Paicu

  • Zero Mach number limit for compressible flows with periodic boundary conditions

    R. Danchin

  • Zero Mach number limit in critical spaces for compressible Navier–Stokes equations

    Raphaël Danchin

  • Well-Posedness in Critical Spaces for Barotropic Viscous Fluids with Truly Not Constant Density

    R. Danchin

  • LOCAL AND GLOBAL WELL-POSEDNESS RESULTS FOR FLOWS OF INHOMOGENEOUS VISCOUS FLUIDS

    R. Danchin

  • On the well-posedness for the Euler-Korteweg model in several space dimensions

    Sylvie Benzoni-Gavage;Raphaël Danchin;S. Descombes

  • On the uniqueness in critical spaces for compressible Navier-Stokes equations

    R. Danchin

  • Optimal Time-decay Estimates for the Compressible Navier-Stokes Equations in the Critical L p Framework

    Raphaël Danchin;Jiang Xu

  • On the well-posedness of the incompressible density-dependent Euler equations in the Lp framework

    Raphaël Danchin

  • Existence and uniqueness results for the Boussinesq system with data in Lorentz spaces

    Raphaël Danchin;Marius Paicu

Frequent Co-Authors

Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay

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