World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
3425
World Ranking
3547
National Ranking
1367

Peter Poláčik 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 Peter Poláčik 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: 120 publications — 21st percentile

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

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

Peter Poláčik 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 Peter Poláčik 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.

Research.com Recognitions

  • 2018 - Fellow of the American Mathematical Society For contributions to analysis of partial differential equations and infinite-dimensional dynamical systems.

Overview

Peter Poláčik is affiliated with the University of Minnesota in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with a particular focus on applied mathematics and computational theory. Their work addresses various aspects of nonlinear partial differential equations and advanced mathematical modeling in engineering.

The researcher's body of work encompasses multiple subfields including applied mathematics, computational theory and mathematics, control and systems engineering, public health, environmental and occupational health, and statistical and nonlinear physics.

Main research topics covered in their publications include:

  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Stability and Controllability of Differential Equations
  • Nonlinear Differential Equations Analysis
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Quantum chaos and dynamical systems
  • Geometric Analysis and Curvature Flows

Frequent collaborators in their work include Antoine Pauthier, Darío A. Valdebenito, Pavol Quíttner, Chiun-Chuan Chen, and Yuan Lou.

Publications by Peter Poláčik have appeared in a range of academic venues. Notable venues where multiple works have been published include:

  • arXiv (Cornell University)
  • Discrete and Continuous Dynamical Systems
  • Journal of Dynamics and Differential Equations
  • Memoirs of the American Mathematical Society
  • Proceedings of the American Mathematical Society

Significant recent papers authored by Peter Poláčik are:

  • "Propagating Terraces and the Dynamics of Front-Like Solutions of Reaction-Diffusion Equations on ℝ," 2020, Memoirs of the American Mathematical Society
  • "Entire solutions and a Liouville theorem for a class of parabolic equations on the real line," 2020, Proceedings of the American Mathematical Society
  • "Large-time behavior of solutions of parabolic equations on the real line with convergent initial data III: unstable limit at infinity," 2022, Partial Differential Equations and Applications
  • "Further results on quasiperiodic partially localized solutions of homogeneous elliptic equations on ℝN+1," 2022, Journal of Functional Analysis
  • "Nonexistence of radial time-periodic solutions of reaction-diffusion equations with generic nonlinearities," 2023, Journal of Differential Equations

In 2018, Peter Poláčik was named a Fellow of the American Mathematical Society for contributions to the analysis of partial differential equations and infinite-dimensional dynamical systems.

Best Publications

  • Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

    Peter Poláčik;Pavol Quittner;Philippe Souplet

  • The evolution of dispersal rates in a heterogeneous time-periodic environment

    V. Hutson;Konstantin Mischaikow;P. Poláčik

  • Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems

    P. Poláčik;I. Tereščák

  • Singularity and decay estimates in superlinear problems via liouville-type theorems. Part II: Parabolic equations

    Peter Polácik;Pavol Quittner;Philippe Souplet

  • Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations

    Peter Polacik;Ignác Tereščák

  • Chapter 16 - Parabolic Equations: Asymptotic Behavior and Dynamics on Invariant Manifolds

    P. Poláčik

  • Convergence in smooth strongly monotone flows defined by semilinear parabolic equations

    Peter Poláčik

  • Asymptotic periodicity of positive solutions of reaction diffusion equations on a ball

    Xu Yan Chen;Peter Polácik

  • Nonconvergent Bounded Trajectories in Semilinear Heat Equations

    Peter Poláčik;Krzysztof P. Rybakowski

  • Convergence in general periodic parabolic equations in one space dimension

    P. Brunovský;P. Polác fcaron;ik;B. Sandstede

  • Threshold Solutions and Sharp Transitions for Nonautonomous Parabolic Equations on \({\mathbb{R}^N}\)

    Peter Polacik

  • Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains

    P. Poláčik;F. Simondon

  • Competing species near a degenerate limit

    Vivian Hutson;Yuan Lou;Konstantin Mischaikow;Peter Polácik

  • The Morse–Smale Structure of a Generic Reaction–Diffusion Equation in Higher Space Dimension

    P. Brunovský;P. Poláčik

  • Complicated dynamics of scalar reaction diffusion equations with a nonlocal term

    Bernold Fiedler;Peter Poláčik

  • Boundedness of prime periods of stable cycles and convergence to fixed points in discrete monotone dynamical systems

    Peter Hess;Peter Poláčik

  • Immediate regularization after blow-up

    Marek Fila;Hiroshi Matano;Peter Polácik

  • Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations

    Juraj Húska;Peter Poláčik;Mikhail V. Safonov

  • A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation

    Peter Poláčik;Pavol Quittner

  • CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN

    J. Busca;M. A. Jendoubi;P. Poláčik

  • On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry

    J. Földes;Peter Poláčik

  • CONVERGENCE TO A POSITIVE EQUILIBRIUM FOR SOME NONLINEAR EVOLUTION EQUATIONS IN A BALL

    Unknown

Frequent Co-Authors

Yuan Lou
Yuan Lou Shanghai Jiao Tong University
Yihong Du
Yihong Du University of New England
Vladimír Šverák
Vladimír Šverák University of Minnesota
Philippe Souplet
Philippe Souplet Paris 13 University
Konstantin Mischaikow
Konstantin Mischaikow Rutgers, The State University of New Jersey
Thomas Bartsch
Thomas Bartsch University of Giessen
Susanna Terracini
Susanna Terracini University of Turin
Eduard Feireisl
Eduard Feireisl Czech Academy of Sciences
Wei Ming Ni
Wei Ming Ni Chinese University of Hong Kong, Shenzhen
Bernold Fiedler
Bernold Fiedler Freie Universität Berlin

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