World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
67
Citations
26756
World Ranking
329
National Ranking
13

Engineering and Technology

D-Index
67
Citations
27358
World Ranking
1265
National Ranking
249

Shijun Liao 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 Shijun Liao 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: 246 publications — 76th percentile

76% of scientists in this discipline score the same or lower.

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

Shijun Liao 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 Shijun Liao 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: 67 D-Index — 91st percentile

91% of scientists in this discipline score the same or lower.

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

Overview

Shijun Liao is affiliated with Shanghai Jiao Tong University in China. Their research spans multiple areas within engineering and physics, with significant contributions to computational mechanics and applications in fluid dynamics, chaos theory, and astrophysics.

Their publication record reveals involvement in a range of scientific topics. Main fields of study include Engineering and Physics and Astronomy, supported by a substantial number of publications in these areas. Key subfields covered are Computational Mechanics, Statistical and Nonlinear Physics, Astronomy and Astrophysics, Aerospace Engineering, and Artificial Intelligence.

Themes frequently addressed in their research are Fluid Dynamics and Turbulent Flows, Meteorological Phenomena and Simulations, Quantum Chaos and Dynamical Systems, Astro and Planetary Science, Fractional Differential Equations Solutions, Spacecraft Dynamics and Control, and Chaos Control and Synchronization.

Shijun Liao's work has appeared in various scientific venues, with repeated publications in journals such as arXiv (Cornell University), Journal of Fluid Mechanics, Journal of Ocean Engineering and Science, Physics of Fluids, and Advances in Applied Mathematics and Mechanics.

Notable recent papers include:

  • Three-body problem - From Newton to supercomputer plus machine learning, 2022, New Astronomy
  • On the risks of using double precision in numerical simulations of spatio-temporal chaos, 2020, Journal of Computational Physics
  • Ultra-chaos of a mobile robot: A higher disorder than normal-chaos, 2022, Chaos Solitons & Fractals
  • Analytical solutions for the hydrogen atom in plasmas with electric, magnetic, and Aharonov-Bohm flux fields, 2021, Physical review. E
  • Large-scale influence of numerical noises as artificial stochastic disturbances on a sustained turbulence, 2022, Journal of Fluid Mechanics

The scientist frequently collaborates with other researchers. Prominent coauthors include Shijie Qin, Xiaoming Li, Yu Yang, Zeng Liu, and Ling Liu. The frequent collaboration network highlights interactions mainly with authors contributing to similar topics in nonlinear physics and fluid mechanics.

Best Publications

  • Beyond Perturbation: Introduction to the Homotopy Analysis Method

    Shijun Liao;SA Sherif

  • On the homotopy analysis method for nonlinear problems

    Shijun Liao

  • Homotopy Analysis Method in Nonlinear Differential Equations

    Shijun Liao

  • An optimal homotopy-analysis approach for strongly nonlinear differential equations

    Shijun Liao

  • Notes on the homotopy analysis method: Some definitions and theorems

    Shijun Liao

  • An explicit, totally analytic approximate solution for Blasius’ viscous flow problems

    Shi-Jun Liao

  • An approximate solution technique not depending on small parameters: A special example

    Shi-Jun Liao

  • On the analytic solution of magnetohydrodynamic flows of non-Newtonian fluids over a stretching sheet

    Shi-Jun Liao

  • A new branch of solutions of boundary-layer flows over an impermeable stretched plate

    Shijun Liao

  • Comparison between the homotopy analysis method and homotopy perturbation method

    Shijun Liao

  • A General Approach to Obtain Series Solutions of Nonlinear Differential Equations

    S J Liao;Y Tan

  • Foundations of offshore wind turbines: A review

    Xiaoni Wu;Yu Hu;Ye Li;Jian Yang

  • A kind of approximate solution technique which does not depend upon small parameters — II. An application in fluid mechanics

    Shi-jun Liao

  • A uniformly valid analytic solution of two-dimensional viscous flow over a semi-infinite flat plate

    Shi-Jun Liao

  • AN EXPLICIT TOTALLY ANALYTIC APPROXIMATION OF BLASIUS VISCOUS FLOW PROBLEMS

    S J Liao

  • HOMOTOPY ANALYSIS OF NONLINEAR PROGRESSIVE WAVES IN DEEP WATER

    Shi-Jun Liao;Kwok Fai Cheung

  • An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate

    Shijun Liao

  • Analytic solutions of the temperature distribution in Blasius viscous flow problems

    Shijun Liao;Antonio Campo

  • Advances in the homotopy analysis method

    Shijun Liao

  • Explicit analytic solution for similarity boundary layer equations

    Shi-Jun Liao;Ioan Pop

Frequent Co-Authors

Tasawar Hayat
Tasawar Hayat Quaid-i-Azam University
Ioan Pop
Ioan Pop Karlsruhe Institute of Technology
A. Alsaedi
A. Alsaedi King Abdulaziz University
Kuppalapalle Vajravelu
Kuppalapalle Vajravelu University of Central Florida
Kwok Fai Cheung
Kwok Fai Cheung University of Hawaii at Manoa
Philip L.-F. Liu
Philip L.-F. Liu National University of Singapore
Feng Xiao
Feng Xiao Tokyo Institute of Technology
Joseph Majdalani
Joseph Majdalani Auburn University
Farzad Mashayek
Farzad Mashayek University of Illinois at Chicago
Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University

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