World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4650
World Ranking
3473
National Ranking
1351

C. Eugene Wayne 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 C. Eugene Wayne 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: 96 publications — 9th percentile

9% of scientists in this discipline score the same or lower.

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

C. Eugene Wayne 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 C. Eugene Wayne 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: 30 D-Index — 5th percentile

5% 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

  • 2015 - SIAM Fellow For contributions to the theory of dynamical systems and partial differential equations.
  • 2015 - Fellow of the American Mathematical Society For contributions to dynamical systems and mathematical physics.

Overview

C. Eugene Wayne is affiliated with Boston University in the United States. Their research spans multiple fields including Physics and Astronomy, Mathematics, and Engineering, with a focus on several subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Computational Mechanics, Applied Mathematics, and Computer Networks and Communications.

The scientist has contributed to topics that cover Nonlinear Photonic Systems, Advanced Mathematical Physics Problems, Nonlinear Dynamics and Pattern Formation, Computational Fluid Dynamics and Aerodynamics, Nonlinear Waves and Solitons, Advanced Harmonic Analysis Research, and Mathematical Analysis and Transform Methods.

Recent publications by C. Eugene Wayne include the following:

  • Decay of Hamiltonian Breathers Under Dissipation, 2020, Communications in Mathematical Physics
  • Exponential bound of the integral of Hermite functions product with Gaussian weight, 2022, Journal of Mathematical Analysis and Applications
  • Damped and driven breathers and metastability, 2023, Quarterly of Applied Mathematics
  • Asymptotic approximation of a modified compressible Navier-Stokes system, 2023, Indiana University Mathematics Journal
  • Asymptotic approximation of a modified compressible Navier-Stokes system, 2020, arXiv (Cornell University)

Frequent coauthors collaborating with C. Eugene Wayne are:

  • Ryan Goh
  • Roland Welter
  • Trevor A. Norton
  • Jean-Pierre Eckmann
  • Vadim Zharnitsky

The scientist has published in various venues, including:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Journal of Mathematical Analysis and Applications
  • Quarterly of Applied Mathematics
  • Indiana University Mathematics Journal

C. Eugene Wayne has been recognized with the title of Fellow of the American Mathematical Society in 2015 for contributions to dynamical systems and mathematical physics. In the same year, they were also named a SIAM Fellow for contributions to the theory of dynamical systems and partial differential equations.

Best Publications

  • Newton's method and periodic solutions of nonlinear wave equations

    Walter Craig;C. Eugene Wayne

  • Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

    C. Eugene Wayne

  • Scaling Theory for Noisy Period-Doubling Transitions to Chaos

    Boris Shraiman;C. Eugene Wayne;Paul C. Martin

  • Invariant Manifolds and the Long-Time Asymptotics of the Navier-Stokes and Vorticity Equations on R2

    Thierry Gallay;C. Eugene Wayne

  • The long‐wave limit for the water wave problem I. The case of zero surface tension

    Guido Schneider;C. Eugene Wayne

  • Ultra-short pulses in linear and nonlinear media

    Y Chung;C K R T Jones;T Schäfer;C E Wayne

  • Global Stability of Vortex Solutions of the Two-Dimensional Navier-Stokes Equation

    Thierry Gallay;C. Eugene Wayne

  • Localization in Disordered, Nonlinear Dynamical Systems

    Jürg Fröhlich;Thomas Spencer;C. Eugene Wayne

  • Invariant Manifolds for a Class of Dispersive, Hamiltonian, Partial Differential Equations

    Claude-Alain Pillet;C.Eugene Wayne

  • The Euler-Bernoulli beam equation with boundary energy dissipation

    G. Chen;S. G. Krantz;D. W. Ma;C. E. Wayne

  • The Rigorous Approximation of Long-Wavelength Capillary-Gravity Waves

    Guido Schneider;C. Eugene Wayne

  • Analysis designs, and behavior of dissipative joints for coupled beams

    G. Chen;S. G. Krantz;D. L. Russell;C. E. Wayne

  • Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations

    Margaret Beck;C. Eugene Wayne

  • Long-time asymptotics of the Navier-Stokes and vorticity equations on R(3).

    Thierry Gallay;C Eugene Wayne

  • Invariant Manifolds for Parabolic Partial Differential Equations on Unbounded Domains

    C. Eugene Wayne

  • Kawahara dynamics in dispersive media

    Guido Schneider;C.Eugene Wayne

  • The non-linear stability of front solutions for parabolic partial differential equations

    Jean-Pierre Eckmann;C. Eugene Wayne

  • Propagating fronts and the center manifold theorem

    J. P. Eckmann;C. E. Wayne

  • On Irwin’s proof of the pseudostable manifold theorem

    Rafael de la Llave;C. Eugene Wayne

  • Existence and Stability of Traveling Pulses in a Continuous Neuronal Network

    David J. Pinto;Russell K. Jackson;C. Eugene Wayne

  • Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity

    Margaret Beck;C. Eugene Wayne

  • A Biologically Constrained, Mathematical Model of Cortical Wave Propagation Preceding Seizure Termination

    Laura R. González-Ramírez;Omar J. Ahmed;Sydney S. Cash;C. Eugene Wayne

  • Cohomology equations near hyperbolic points and geometric versions of sternberg linearization theorem

    Unknown

Frequent Co-Authors

Jean-Pierre Eckmann
Jean-Pierre Eckmann University of Geneva
Guido Schneider
Guido Schneider University of Stuttgart
Walter Craig
Walter Craig McMaster University
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology
Goong Chen
Goong Chen Texas A&M University
Mark A. Kramer
Mark A. Kramer Boston University
Steven G. Krantz
Steven G. Krantz Washington University in St. Louis
Sydney S. Cash
Sydney S. Cash Harvard University
Claude-Alain Pillet
Claude-Alain Pillet Université de Toulon

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