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
1264
National Ranking
250

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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