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Andrey Piatnitski 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 Andrey Piatnitski 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+

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

Andrey Piatnitski 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 Andrey Piatnitski 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+

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

Overview

Andrey Piatnitski is affiliated with the University of Tromsø - The Arctic University of Norway. Their research primarily spans the fields of Mathematics, Computer Science, and Engineering with a strong focus on applied and computational aspects.

The main areas of study include:

  • Computational Theory and Mathematics
  • Mathematical Physics
  • Applied Mathematics
  • Computational Mechanics
  • Mechanics of Materials

The scientist's work covers several advanced topics such as:

  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems
  • Nonlinear Partial Differential Equations
  • Advanced Numerical Methods in Computational Mathematics
  • Composite Material Mechanics
  • Spectral Theory in Mathematical Physics
  • Stochastic processes and financial applications

Andrey Piatnitski has contributed to a variety of scholarly papers, with recent notable publications including:

  • "On operator estimates in homogenization of nonlocal operators of convolution type," 2023, Journal of Differential Equations
  • "Homogenization of random convolution energies," 2021, Journal of the London Mathematical Society
  • "Homogenization of immiscible compressible two-phase flow in random porous media," 2020, arXiv (Cornell University)
  • "Topological Singularities in Periodic Media: Ginzburg-Landau and Core-Radius Approaches," 2021, Archive for Rational Mechanics and Analysis
  • "On the spectrum of convolution operator with a potential," 2022, Journal of Mathematical Analysis and Applications

The scientist has also authored a book titled A Variational Theory of Convolution-Type Functionals, published in 2023 under SpringerBriefs on PDEs and Data Science.

Frequent collaborators in their research projects include:

  • Е. Г. Жижина
  • Andrea Braides
  • Roberto Alicandro
  • Nadia Ansini
  • Antonio Tribuzio

Andrey Piatnitski's publications often appear in journals and venues such as:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Archive for Rational Mechanics and Analysis
  • Mathematical Methods in the Applied Sciences
  • Nonlinear Analysis Real World Applications

Best Publications

  • Approximations of effective coefficients in stochastic homogenization

    Alain Bourgeat;Andrey Piatnitski;Andrey Piatnitski

  • Quenched invariance principles for random walks on percolation clusters

    P. Mathieu;A. L. Piatnitski

  • The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary☆

    Gregory A. Chechkin;Avner Friedman;Andrey L. Piatnitski

  • Homogenization of the Schrödinger Equation and Effective Mass Theorems

    Grégoire Allaire;Andrey Piatnitski

  • Homogenization: Methods and Applications

    G. A. Chechkin;A. L. Piatnitski;A. S. Shamev

  • Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

    Grégoire Allaire;Robert Brizzi;Andro Mikelic;Andrey Piatnitski

  • Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator

    A. Bourgeat;A. Piatnitski;P. Michelon

  • HOMOGENIZATION APPROACH TO THE DISPERSION THEORY FOR REACTIVE TRANSPORT THROUGH POROUS MEDIA

    Grégoire Allaire;Andro Mikelic;Andrey L. Piatnitski

  • Homogenization of a singular random one-dimensional PDE

    Bogdan Iftimie;Étienne Pardoux;Andrey Piatnitski

  • Homogenization of surface and length energies for spin systems

    Andrea Braides;Andrey Piatnitski;Andrey Piatnitski

  • Homogenization of the linearized ionic transport equations in rigid periodic porous media

    Grégoire Allaire;Andro Mikelic;Andrey L. Piatnitski;Andrey L. Piatnitski

  • Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain

    Gregory A. Chechkin;Andrey L. Piatnitski

  • Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository

    Brahim Amaziane;Stanislav N. Antontsev;Leonid Pankratov;Andrey Piatnitski

  • Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection

    Eduard Marušić-Paloka;Andrey L. Piatnitski

  • Khasminskii–Whitham averaging for randomly perturbed KdV equation

    Sergei B. Kuksin;Sergei B. Kuksin;Andrey L. Piatnitski;Andrey L. Piatnitski

  • Homogenization of a nonlinear random parabolic partial differential equation

    E. Pardoux;A.L. Piatnitski

  • Homogenization of Periodic Systems with Large Potentials

    Grégoire Allaire;Yves Capdeboscq;Andrey Piatnitski;Vincent Siess

  • Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel

    Andrey L. Piatnitski;Elena A. Zhizhina

  • Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients

    Grégoire Allaire;Robert Brizzi;Jean-François Dufrêche;Andro Mikelić

  • Periodic homogenization of non-local operators with a convolution type kernel

    Andrey Piatnitski;Elena Zhizhina

Frequent Co-Authors

Grégoire Allaire
Grégoire Allaire École Polytechnique
Andrea Braides
Andrea Braides University of Rome Tor Vergata
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Vladimir I. Bogachev
Vladimir I. Bogachev National Research University Higher School of Economics
Igor Chueshov
Igor Chueshov V. N. Karazin Kharkiv National University
Martin Hairer
Martin Hairer Imperial College London
Yakov G. Sinai
Yakov G. Sinai Princeton University

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