World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3030
World Ranking
3561
National Ranking
124

Michiel Bertsch 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 Michiel Bertsch 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: 112 publications — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Michiel Bertsch 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 Michiel Bertsch 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Michiel Bertsch is affiliated with the University of Rome Tor Vergata in Italy and specializes primarily in mathematics and medicine. Their body of work spans multiple fields and subfields, focusing heavily on applied mathematics and related interdisciplinary areas.

The main fields of study for Bertsch include:

  • Mathematics
  • Medicine

Within these broader categories, the scientist engages deeply with subfields such as:

  • Applied Mathematics
  • Physiology
  • Computational Theory and Mathematics
  • Radiology, Nuclear Medicine and Imaging
  • Mathematical Physics

Bertsch's research topics notably cover:

  • Alzheimer's disease research and treatments
  • Geometric Analysis and Curvature Flows
  • Navier-Stokes equation solutions
  • Advanced Neuroimaging Techniques and Applications
  • Nonlinear Partial Differential Equations
  • Stochastic processes and financial applications
  • Computational Drug Discovery Methods

The researcher has collaborated frequently with several coauthors, including:

  • Flavia Smarrazzo
  • Alberto Tesei
  • Veronica Tora
  • Andrea Terracina
  • Bruno Franchi

Bertsch has contributed to a range of publication venues, with recurrent appearances in:

  • Nonlinear Analysis
  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems - B
  • Journal of Mathematical Biology
  • European Journal of Applied Mathematics

Recent research papers authored by Michiel Bertsch include:

  • The amyloid cascade hypothesis and Alzheimer's disease: A mathematical model, 2020, European Journal of Applied Mathematics
  • The role of Aβ and Tau proteins in Alzheimer's disease: a mathematical model on graphs, 2023, Journal of Mathematical Biology
  • Macroscopic modelling of Alzheimer's disease: difficulties and challenges, 2021, Brain Multiphysics
  • On a class of forward-backward parabolic equations: Formation of singularities, 2020, Journal of Differential Equations
  • Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations, 2021, Journal of Hyperbolic Differential Equations

Best Publications

  • Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation

    Elena Beretta;Michiel Bertsch;Roberta Dal Passo

  • Positivity versus localization in degenerate diffusion equations

    M. Bertsch;R. Kersner;L.A. Peletier

  • A degenerate pseudoparabolic regularization of a nonlinear forward-backward heat equation arising in the theory of heat and mass exchange in stably stratified turbulent shear flow

    G. I. Barenblatt;M. Bertsch;R. Dal Passo;M. Ughi

  • The thin viscous flow equation in higher space dimensions

    Michiel Bertsch;Roberta Dal Passo;Harald Garcke;Günther Grün

  • Nonuniqueness for the Heat Flow¶of Harmonic Maps on the Disk

    Michiel Bertsch;Roberta Dal Passo;Rein van der Hout

  • On interacting populations that disperse to avoid crowding:preservation of segregation

    M. Bertsch;M. E. Gurtin;D. Hilhorst;L. A. Peletier

  • Positivity properties of viscosity solutions of a degenerate parabolic equation

    Unknown

  • Alzheimer's disease: a mathematical model for onset and progression.

    Michiel Bertsch;Bruno Franchi;Norina Marcello;Maria Carla Tesi

  • Hyperbolic phenomena in a strongly degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo

  • Discontinuous “viscosity” solutions of a degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo;Maura Ughi

  • A class of degenerate diffusion equations with a singular nonlinear term

    Unknown

  • On the dynamics of deformable ferromagnets

    M. Bertsch;P. Podio Guidugli;V. Valente

  • Nonuniqueness of solutions of a degenerate parabolic equation

    Michiel Bertsch;Roberta Dal Passo;Maura Ughi

  • Self-similar intermediate asymptotics for a degenerate parabolic filtration-absorption equation.

    G. I. Barenblatt;M. Bertsch;A. E. Chertock;V. M. Prostokishin

  • On interacting populations that disperse to avoid crowding: The effect of a sedentary colony

    M. Bertsch;M. E. Gurtin;D. Hilhorst;L. A. Peletier

  • Analysis of oil trapping in porous media flow

    M Bertsch;R Dal Passo;van Cj Hans Duijn

  • A NONLINEAR PARABOLIC-HYPERBOLIC SYSTEM FOR CONTACT INHIBITION OF CELL-GROWTH

    Michiel Bertsch;Danielle Hilhorst;Hirofumi Izuhara;Masayasu Mimura

  • Decay of solutions of a degenerate nonlinear diffusion equation

    M. Bertsch;T. Nanbu;L.A. Peletier

  • Regularity Results for an Elliptic-Parabolic Free Boundary Problem

    Unknown

  • Thin-film equations with “partial wetting” energy: Existence of weak solutions

    Michiel Bertsch;Lorenzo Giacomelli;Georgia Karali

  • A free boundary problem arising in a simplified tumour growth model of contact inhibition

    Michiel Bertsch;Roberta Dal Passo;Masayasu Mimura

  • Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis

    Henri Berestycki;Michiel Bertsch;Felix E. Browder;Louis Nirenberg

  • A positivity property of solutions of nonlinear diffusion equations

    M Bertsch;L.A Peletier

  • Degenerate diffusion and the Stefan problem

    M. Bertsch;P. de Mottoni;L.A. Peletier

  • Pseudoparabolic regularization of forward-backward parabolic equations: A logarithmic nonlinearity

    Michiel Bertsch;Flavia Smarrazzo;Alberto Tesei

Frequent Co-Authors

Masayasu Mimura
Masayasu Mimura Hiroshima University
Grigory Isaakovich Barenblatt
Grigory Isaakovich Barenblatt University of California, Berkeley
Harald Garcke
Harald Garcke University of Regensburg
Alexandre J. Chorin
Alexandre J. Chorin University of California, Berkeley
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
Stephen H. Davis
Stephen H. Davis Northwestern University

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