World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
5641
World Ranking
2895
National Ranking
176

Reinhard Racke 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 Reinhard Racke 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: 129 publications — 26th percentile

26% of scientists in this discipline score the same or lower.

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

Reinhard Racke 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 Reinhard Racke 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: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

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

Overview

Reinhard Racke is affiliated with the University of Konstanz in Germany and focuses research efforts at the intersection of engineering and mathematics. Their work frequently appears in journals dedicated to differential equations, applied mathematics, and mathematical physics.

Their research centers on the study of complex mathematical models related to fluid dynamics, elasticity, and thermoelastic phenomena. Key topics explored include Navier-Stokes equation solutions, stability and controllability of differential equations, computational fluid dynamics and aerodynamics, as well as advanced mathematical physics problems.

Frequent coauthors contributing to Reinhard Racke's research include Yuxi Hu, Hamadjam Abboubakar, Yoshihiro Ueda, Jaime E. Muñoz Rivera, and Belkacem Said-Houari.

Publication venues with multiple articles by Racke include the Journal of Differential Equations, Applied Mathematics & Optimization, and Communications in Contemporary Mathematics. Their research outputs also feature in Chaos Solitons & Fractals and arXiv.

  • Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation, 2020, Communications in Contemporary Mathematics
  • Mathematical modeling, forecasting, and optimal control of typhoid fever transmission dynamics, 2021, Chaos Solitons & Fractals
  • Effects of history and heat models on the stability of thermoelastic Timoshenko systems, 2020, Journal of Differential Equations
  • Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations, 2022, Journal of Differential Equations
  • Hyperbolic compressible Navier-Stokes equations, 2020, Journal of Differential Equations

The main fields of study encompass engineering and mathematics, with subfields such as applied mathematics, mechanics of materials, mathematical physics, control and systems engineering, and computational mechanics being prominent.

  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Thermoelastic and Magnetoelastic Phenomena
  • Elasticity and Wave Propagation

Best Publications

  • Energy decay for Timoshenko systems of memory type

    F. Ammar-Khodja;A. Benabdallah;J.E. Muñoz Rivera;R. Racke

  • Lectures on nonlinear evolution equations

    Reinhard Racke

  • Mildly dissipative nonlinear Timoshenko systems—global existence and exponential stability☆

    Jaime E. Muñoz Rivera;Reinhard Racke

  • On the stability of damped Timoshenko systems - Cattaneo versus Fourier law

    Hugo D. Fernández Sare;Reinhard Racke

  • A note on stability in three-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Global stability for damped Timoshenko systems

    Jaime E. Muñoz Rivera;Reinhard Racke

  • A note on stability in dual-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Thermoelasticity with second sound—exponential stability in linear and non‐linear 1‐d

    Reinhard Racke

  • The Cahn-Hilliard equation with dynamic boundary conditions

    Reinhard Racke;Songmu Zheng

  • Global Stability of Large Solutions to the 3D Navier-Stokes Equations

    G. Ponce;R. Racke;T. C. Sideris;E. S. Titi;E. S. Titi

  • Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Ill-posed problems in thermomechanics

    Michael Dreher;Ramón Quintanilla;Reinhard Racke

  • Timoshenko systems with indefinite damping

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Qualitative Aspects in Dual-Phase-Lag Thermoelasticity

    Ramón Quintanilla;Reinhard Racke

  • Stability in thermoelasticity of type III

    Ramon Quintanilla;Reinhard Racke

  • Maximal regularity and asymptotic behavior of solutions for the Cahn–Hilliard equation with dynamic boundary conditions

    Jan Prüss;Reinhard Racke;Songmu Zheng

  • Qualitative aspects in dual-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Large Solutions and Smoothing Properties for Nonlinear Thermoelastic Systems

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

    Reinhard Racke;Reinhard Racke;Yoshihiro Shibata;Yoshihiro Shibata

  • Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound

    Reinhard Racke

Frequent Co-Authors

Ramón Quintanilla
Ramón Quintanilla Universitat Politècnica de Catalunya
Jaime E. Muñoz Rivera
Jaime E. Muñoz Rivera Laboratório Nacional de Computação Científica
Yoshihiro Shibata
Yoshihiro Shibata Waseda University
Jan Prüss
Jan Prüss Martin Luther University Halle-Wittenberg
Song Jiang
Song Jiang Institute of Applied Physics and Computational Mathematics

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