World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
5048
World Ranking
2098
National Ranking
885

Qi S. Zhang 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 Qi S. Zhang 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: 180 publications — 53rd percentile

53% of scientists in this discipline score the same or lower.

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

Qi S. Zhang 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 Qi S. Zhang 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: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Overview

Qi S. Zhang is affiliated with the University of California, Riverside in the United States. Their research spans two main fields: Mathematics and Engineering, with notable contributions to subfields including Applied Mathematics, Mathematical Physics, Computational Mechanics, Electrical and Electronic Engineering, and Geometry and Topology.

The scientist's work covers a range of topics such as:

  • Navier-Stokes equation solutions
  • Geometric Analysis and Curvature Flows
  • Geometry and complex manifolds
  • Stability and Controllability of Differential Equations
  • Advanced Mathematical Physics Problems
  • Numerical methods in inverse problems
  • Multilevel Inverters and Converters

Qi S. Zhang has published in several recognized venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Fuel
  • IEEE Transactions on Transportation Electrification
  • IEEE Journal of Emerging and Selected Topics in Power Electronics

Their recent papers demonstrate a range of research interests, with titles and publication years as follows:

  • "Time analyticity for the heat equation and Navier-Stokes equations," 2020, Journal of Functional Analysis
  • "Theoretical study of the structure and properties of Ni/V porphyrins under microwave electric field: A DFT study," 2020, Fuel
  • "Decay and vanishing of some axially symmetric D-solutions of the Navier-Stokes equations," 2020, Journal of Functional Analysis
  • "An Enhanced Virtual Vector-Based Model Predictive Control for PMSM Drives to Reduce Common-Mode Voltage Considering Dead Time Effect," 2023, IEEE Journal of Emerging and Selected Topics in Power Electronics
  • "Direct Torque Control of PMSM Drives for Common-Mode Voltage Reduction and Steady-State Performance Improvement," 2024, IEEE Transactions on Transportation Electrification

They have collaborated frequently with other researchers, including:

  • Hongjie Dong
  • Weitao Deng
  • Chulan Zeng
  • Shanhu Li
  • Bryan Carrillo

Best Publications

  • A blow-up result for a nonlinear wave equation with damping: The critical case

    Qi S. Zhang

  • Finite time blow up for critical wave equations in high dimensions

    Borislav T. Yordanov;Qi S. Zhang

  • Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds

    Philippe Souplet;Qi S. Zhang

  • BLOW-UP RESULTS FOR NONLINEAR PARABOLIC EQUATIONS ON MANIFOLDS

    Qi S. Zhang

  • The Boundary Behavior of Heat Kernels of Dirichlet Laplacians

    Qi S. Zhang

  • Some gradient estimates for the heat equation on domains and for an equation by Perelman

    Qi S. Zhang

  • Global solutions of inhomogeneous Hamilton-Jacobi equations

    Philippe Souplet;Qi S. Zhang

  • On a Degenerate Heat Equation with a Singular Potential

    Jerome A. Goldstein;Qi S. Zhang

  • A Uniform Sobolev Inequality Under Ricci Flow

    Qi S. Zhang

  • A Strong Regularity Result for Parabolic Equations

    Qi S. Zhang

  • The conjugate heat equation and Ancient solutions of the Ricci flow

    Xiaodong Cao;Qi S. Zhang

  • Gaussian bounds for the fundamental solutions of ▽(A▽u) + B▽u − ut = 0

    Qi S. Zhang

  • Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature

    Richard H. Bamler;Qi S. Zhang

  • A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow

    Shilong Kuang;Qi S. Zhang

  • Critical Exponents of Fujita Type for Inhomogeneous Parabolic Equations and Systems

    C Bandle;H.A Levine;Qi S Zhang

  • Linear parabolic equations with strong singular potentials

    Jerome A. Goldstein;Qi S. Zhang

  • Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture

    Qi S. Zhang

  • On a parabolic equation with a singular lower order term

    Qi Zhang

  • A Liouville theorem for the axially-symmetric Navier–Stokes equations

    Zhen Lei;Qi S. Zhang

  • Bounds on volume growth of geodesic balls under Ricci flow

    Qi S. Zhang

  • On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds

    Qi Zhang

Frequent Co-Authors

Philippe Souplet
Philippe Souplet Paris 13 University
Gang Tian
Gang Tian Peking University
Hongjie Dong
Hongjie Dong Brown University
Thierry Coulhon
Thierry Coulhon PSL University
Howard A. Levine
Howard A. Levine Iowa State University
Fanghua Lin
Fanghua Lin Courant Institute of Mathematical Sciences
Jerome A. Goldstein
Jerome A. Goldstein University of Memphis

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