World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
6524
World Ranking
1926
National Ranking
823

Steve Shkoller 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 Steve Shkoller 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: 109 publications — 15th percentile

15% of scientists in this discipline score the same or lower.

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

Steve Shkoller 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 Steve Shkoller 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: 41 D-Index — 49th percentile

49% 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

  • 2020 - Fellow of the American Mathematical Society For contributions to nonlinear partial differential equations, fluid dynamics, and free-boundary problems.
  • 2000 - Fellow of Alfred P. Sloan Foundation

Overview

Steve Shkoller is a researcher affiliated with the University of California, Davis in the United States. Their research primarily spans the fields of Mathematics and Engineering, with a strong focus on Applied Mathematics and Computational Mechanics. Their work also touches on Mathematical Physics, Astronomy and Astrophysics, and Geometry and Topology as subfields of study.

The main topics of Steve Shkoller's research include:

  • Navier-Stokes equation solutions
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Physics Problems
  • Cosmology and Gravitation Theories
  • Gas Dynamics and Kinetic Theory
  • Geometric Analysis and Curvature Flows
  • Fluid Dynamics and Turbulent Flows

Their recent publications highlight work on the formation and behavior of shocks and fluid dynamics phenomena in compressible Euler equations, reflecting the specialized mathematical analysis they conduct. Some notable papers include:

  • "Formation of Shocks for 2D Isentropic Compressible Euler," 2020, Communications on Pure and Applied Mathematics
  • "Shock Formation and Vorticity Creation for 3d Euler," 2022, Communications on Pure and Applied Mathematics
  • "Simultaneous Development of Shocks and Cusps for 2D Euler with Azimuthal Symmetry from Smooth Data," 2022, Annals of PDE
  • "Formation of Point Shocks for 3D Compressible Euler," 2022, Communications on Pure and Applied Mathematics
  • "The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions," 2024, Inventiones mathematicae

Shkoller often collaborates with other researchers in their field. Frequent coauthors include Vlad Vicol, Tristan Buckmaster, Isaac Neal, Theodore D. Drivas, and Raaghav Ramani.

Their research contributions have been published in venues such as arXiv (Cornell University), Communications on Pure and Applied Mathematics, Annals of PDE, Inventiones mathematicae, and the Journal of Computational Physics. ArXiv is the most frequent publishing platform used, followed by Communications on Pure and Applied Mathematics.

Steve Shkoller's work has been recognized through awards including being named a Fellow of the American Mathematical Society in 2020, acknowledging their contributions to nonlinear partial differential equations, fluid dynamics, and free-boundary problems. Earlier in their career, they were a Fellow of the Alfred P. Sloan Foundation in 2000.

Best Publications

  • Multisymplectic Geometry, Variational Integrators, and Nonlinear PDEs

    Jerrold E. Marsden;George W. Patrick;Steve Shkoller

  • Well-posedness of the free-surface incompressible Euler equations with or without surface tension

    Daniel Coutand;Steve Shkoller

  • Motion of an Elastic Solid inside an Incompressible Viscous Fluid

    Daniel Coutand;Steve Shkoller

  • The Interaction between Quasilinear Elastodynamics and the Navier-Stokes Equations

    Daniel Coutand;Steve Shkoller

  • Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains

    Jerrold E. Marsden;Steve Shkoller

  • Discrete Euler-Poincaré and Lie-Poisson equations

    Jerrold E. Marsden;Sergey Pekarsky;Steve Shkoller

  • Well-Posedness in Smooth Function Spaces for the Moving-Boundary Three-Dimensional Compressible Euler Equations in Physical Vacuum

    Daniel Coutand;Steve Shkoller

  • Variational Methods, Multisymplectic Geometry and Continuum Mechanics

    Jerrold E. Marsden;Sergey Pekarsky;Steve Shkoller;Matthew West

  • Multisymplectic geometry, covariant Hamiltonians, and water waves

    Jerrold E. Marsden;Steve Shkoller

  • Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence

    Kamran Mohseni;Branko Kosović;Steve Shkoller;Jerrold E. Marsden

  • Geometry and Curvature of Diffeomorphism Groups withH1Metric and Mean Hydrodynamics

    Steve Shkoller;Steve Shkoller

  • Well‐posedness in smooth function spaces for moving‐boundary 1‐D compressible euler equations in physical vacuum

    Daniel Coutand;Steve Shkoller

  • The Anisotropic Lagrangian Averaged Euler and Navier-Stokes Equations

    Jerrold E. Marsden;Steve Shkoller

  • Nonuniqueness of weak solutions to the SQG equation

    Tristan Buckmaster;Steve Shkoller;Vlad Vicol

  • On the motion of an elastic solid inside of an incompressible viscous fluid

    Daniel Coutand;Steve Shkoller

  • On the Finite-Time Splash and Splat Singularities for the 3-D Free-Surface Euler Equations

    Daniel Coutand;Steve Shkoller

  • A Priori Estimates for the Free-Boundary 3D Compressible Euler Equations in Physical Vacuum

    Daniel Coutand;Hans Lindblad;Steve Shkoller

  • The geometry and analysis of the averaged Euler equations and a new diffeomorphism group

    Jerrold E. Marsden;Tudor S. Ratiu;Steve Shkoller

  • On the interaction between quasilinear elastodynamics and the Navier-Stokes equations

    Daniel Coutand;Steve Shkoller

  • Well-posedness of the Muskat problem with H2 initial data

    C.H. Arthur Cheng;Rafael Granero-Belinchón;Steve Shkoller

  • The Interaction between Quasilinear Elastodynamics and the

    Navier-Stokes Equations;Daniel Coutand;Steve Shkoller

  • Geometry and curvature of diffeomorphism groups with $H^1$ metric and mean hydrodynamics

    Steve Shkoller

Frequent Co-Authors

Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Vlad Vicol
Vlad Vicol Courant Institute of Mathematical Sciences
Tudor S. Ratiu
Tudor S. Ratiu École Polytechnique Fédérale de Lausanne
Darryl D. Holm
Darryl D. Holm Imperial College London
Hans Lindblad
Hans Lindblad Johns Hopkins University

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