World's Best Scientists 2026 revealed!
Michael Růžička

Michael Růžička

D-Index & Metrics

Mathematics

D-Index
31
Citations
8596
World Ranking
3268
National Ranking
196

Michael Růžička 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 Michael Růžička 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: 124 publications — 23rd percentile

23% of scientists in this discipline score the same or lower.

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

Michael Růžička 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 Michael Růžička 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: 31 D-Index — 9th percentile

9% of scientists in this discipline score the same or lower.

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

Overview

Michael Růžička is affiliated with the University of Freiburg in Germany and has a significant body of research focusing on applied mathematics and computational methods related to nonlinear partial differential equations and computational mechanics.

Their research spans several main fields of study, including:

  • Mathematics
  • Engineering
  • Computer Science

Within these areas, the scientist concentrates on the following subfields:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computational Mechanics
  • Mathematical Physics
  • Biomedical Engineering

Core topics addressed in their work include:

  • Advanced Mathematical Modeling in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Navier-Stokes equation solutions
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations
  • Elasticity and Material Modeling
  • Differential Equations and Numerical Methods

Recent contributions to the scientific literature highlight studies on discontinuous Galerkin approximations and nonlinear parabolic systems. Notable papers include:

  • "A Local Discontinuous Galerkin Approximation for the p-Navier-Stokes System, Part I: Convergence Analysis" (2023), published in SIAM Journal on Numerical Analysis
  • "Space-time discretization for nonlinear parabolic systems with p-structure" (2020), published in IMA Journal of Numerical Analysis
  • "A Local Discontinuous Galerkin Approximation for the \\(\boldsymbol{p}\\)-Navier-Stokes System, Part II: Convergence Rates for the Velocity" (2023), published in SIAM Journal on Numerical Analysis
  • "Natural second-order regularity for parabolic systems with operators having $$(p, \delta )$$-structure and depending only on the symmetric gradient" (2022), published in Calculus of Variations and Partial Differential Equations
  • "Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure" (2023), published in ESAIM. Mathematical modelling and numerical analysis

The scientist frequently collaborates with several coauthors, including:

  • Alex Kaltenbach
  • Luigi C. Berselli
  • Julius Jeßberger
  • Bernd Rummler
  • Gudrun Thäter

Michael Růžička's work is often published in recognized venues such as:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • Calculus of Variations and Partial Differential Equations
  • ESAIM. Mathematical modelling and numerical analysis
  • Mathematical Models and Methods in Applied Sciences

Best Publications

  • Electrorheological Fluids: Modeling and Mathematical Theory

    Michael Růžička

  • Weak and Measure-Valued Solutions to Evolutionary PDEs

    J. Málek;J. Nečas;M. Rokyta;M. Růžička

  • Mathematical modeling of electrorheological materials

    K.R. Rajagopal;M. Ružička

  • Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics

    Lars Diening;Michael Růžička

  • On Leray's self-similar solutions of the Navier-Stokes equations

    J. Nečas;J. Nečas;M. Růžička;V. Šverák

  • ON THE OBERBECK-BOUSSINESQ APPROXIMATION

    K.R. Rajagopal;M. Ruzicka;A.R. Srinivasa

  • On the modeling of electrorheological materials

    K.R. Rajagopal;M. Růzǐčka

  • Existence of weak solutions for unsteady motions of generalized Newtonian fluids

    Lars Diening;Michael Růžička;Jörg Wolf

  • On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$

    J. Málek;J. Nečas;M. Růžička

  • EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY

    J. Málek;K.R. Rajagopal;M. Růžička

  • A decomposition technique for John domains

    Lars Diening;Michael Ruzicka;Katrin Schumacher

  • An example of a space Lp(x) on which the Hardy-Littlewood maximal operator is not bounded

    Luboš Pick;Michael Růžička

  • ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS

    Josef Málek;Jindřich Nečas;Michael Růžička

  • Weak Solutions for an Incompressible Newtonian Fluid Interacting with a Koiter Type Shell

    Daniel Lengeler;Michael Růžička

  • Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities

    Luigi C. Berselli;Lars Diening;Michael Růžička

  • Modeling, mathematical and numerical analysis of electrorheological fluids

    Michael Růžička

  • Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with $p$-Structure

    Lars Diening;Carsten Ebmeyer;Michael Ru ring;z caron

  • Strong Solutions for Generalized Newtonian Fluids

    Lars Diening;Michael Růžička

  • Flow of shear dependent electrorheological fluids

    Michael Růžička

  • Monotone operator theory for unsteady problems in variable exponent spaces

    Lars Diening;Philipp Nägele;Michael Růžička

Frequent Co-Authors

Lars Diening
Lars Diening Bielefeld University
Josef Málek
Josef Málek Charles University
Petteri Harjulehto
Petteri Harjulehto University of Helsinki
Peter Hästö
Peter Hästö University of Helsinki
Jens Frehse
Jens Frehse University of Bonn
Vladimír Šverák
Vladimír Šverák University of Minnesota
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Peter Constantin
Peter Constantin Princeton University
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh
Gregory Seregin
Gregory Seregin University of Oxford

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