World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
70
Citations
14153
World Ranking
279
National Ranking
17

Alexander Mielke 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 Alexander Mielke 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: 261 publications — 79th percentile

79% of scientists in this discipline score the same or lower.

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

Alexander Mielke 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 Alexander Mielke 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: 70 D-Index — 93rd percentile

93% of scientists in this discipline score the same or lower.

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

Overview

Alexander Mielke is affiliated with the Weierstrass Institute for Applied Analysis and Stochastics in Germany. Their research spans multiple domains within mathematics and engineering, with a particular emphasis on applied mathematics and computational theory.

Their publication record includes a variety of recent papers, illustrating involvement in advanced mathematical modeling and analysis topics. Selected recent papers are:

  • Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence, 2021, Continuum Mechanics and Thermodynamics
  • Modeling of Chemical Reaction Systems with Detailed Balance Using Gradient Structures, 2020, Journal of Statistical Physics
  • EDP-convergence for nonlinear fast-slow reaction systems with detailed balance*, 2021, Nonlinearity
  • On the existence of global-in-time weak solutions and scaling laws for Kolmogorov's two-equation model for turbulence, 2022, ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
  • Global Existence Analysis of Energy-Reaction-Diffusion Systems, 2022, SIAM Journal on Mathematical Analysis

Mielke collaborates frequently with other researchers. Notable co-authors include:

  • Thomas Koprucki
  • Tomáš Roubı́ček
  • Mark A. Peletier
  • Anieza Maltsi
  • Artur Stephan

Their research outputs are often published in venues such as:

  • arXiv (Cornell University)
  • The Spine Journal
  • Archive for Rational Mechanics and Analysis
  • Continuum Mechanics and Thermodynamics
  • SIAM Journal on Mathematical Analysis

Main fields of study for Alexander Mielke include:

  • Mathematics
  • Engineering

Within these fields, Mielke's work delves into the following subfields:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Statistical and Nonlinear Physics
  • Modeling and Simulation
  • Control and Systems Engineering

The primary topics addressed in their research cover:

  • Advanced Mathematical Modeling in Engineering
  • Mathematical Biology Tumor Growth
  • Stability and Controllability of Differential Equations
  • Advanced Thermodynamics and Statistical Mechanics
  • Geometric Analysis and Curvature Flows
  • Nonlinear Partial Differential Equations
  • Spine and Intervertebral Disc Pathology

Best Publications

  • Non-convex potentials and microstructures in finite-strain plasticity

    Carsten Carstensen;Klaus Hackl;Alexander Mielke

  • On rate-independent hysteresis models

    Alexander Mielke;Florian Theil

  • Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures

    Matthias Liero;Alexander Mielke;Giuseppe Savaré

  • A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle

    Alexander Mielke;Florian Theil;Valery I. Levitas

  • Rate-Independent Systems

    Alexander Mielke;Tomáš Roubíček

  • A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems

    Alexander Mielke

  • Existence results for a class of rate-independent material models with nonconvex elastic energies

    Gilles Francfort;Alexander Mielke

  • Existence results for energetic models for rate-independent systems

    Andreas Mainik;Alexander Mielke

  • Reduction of quasilinear elliptic equations in cylindrical domains with applications

    Alexander Mielke

  • Rate-Independent Systems: Theory and Application

    Alexander Mielke;Tomáš Roubíček

  • The validity of modulation equations for extended systems with cubic nonlinearities

    Pius Kirrmann;Guido Schneider;Alexander Mielke

  • Attractors for modulation equations on unbounded domains-existence and comparison

    A Mielke;G Schneider

  • Γ-limits and relaxations for rate-independent evolutionary problems

    Alexander Mielke;Tomáš Roubíček;Ulisse Stefanelli

  • Energetic formulation of multiplicative elasto-plasticity using dissipation distances

    A. Mielke

  • Hamiltonian and Lagrangian Flows on Center Manifolds

    Alexander Mielke

  • Geodesic convexity of the relative entropy in reversible Markov chains

    Alexander Mielke

  • RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY

    Alexander Mielke;Tomáš Roubíček;Tomáš Roubíček

  • On the Relation between Gradient Flows and the Large-Deviation Principle, with Applications to Markov Chains and Diffusion

    A. Mielke;M. A. Peletier;D. R. M. Renger

  • On the Rate-Independent Limit of Systems with Dry Friction and Small Viscosity

    Messoud A. Efendiev;Alexander Mielke

  • Cascades of homoclinic orbits to, and chaos near, a Hamiltonian saddle-center

    A. Mielke;P. Holmes;O. O'Reilly

  • A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys

    Alexander Mielke;Tomás Roubícek

Frequent Co-Authors

Tomáš Roubíček
Tomáš Roubíček Charles University
Giuseppe Savaré
Giuseppe Savaré Bocconi University
Sergey Zelik
Sergey Zelik University of Surrey
Guido Schneider
Guido Schneider University of Stuttgart
Gérard Iooss
Gérard Iooss Université Côte d'Azur
Philip Holmes
Philip Holmes Princeton University
Michael Winkler
Michael Winkler University of Paderborn
Gianni Dal Maso
Gianni Dal Maso International School for Advanced Studies
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Valery I. Levitas
Valery I. Levitas Iowa State University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students interested in Mathematics, exploring related online degrees can open diverse career opportunities. Programs like the best masters in data analytics programs blend mathematical theory with practical data skills, preparing graduates for roles in big data, finance, and technology sectors.

For those considering leadership positions or business management alongside their quantitative expertise, pursuing one of the easiest mba program to get into can provide valuable credentials without overwhelming admission hurdles. Moreover, online options such as the easiest online mba programs offer flexibility for professionals balancing work and study.

For advanced career growth, especially in academia or executive roles, the cheapest aacsb online dba programs provide affordable Doctorate in Business Administration degrees accredited by AACSB, ensuring quality education with financial efficiency.

Combining mathematics with these related fields through online degrees enhances employability and allows for career development across industries such as analytics, management, and consulting.

Best Scientists Citing Alexander Mielke

Trending Scientists

Recently Published Articles