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Grzegorz Karch 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 Grzegorz Karch 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.

Grzegorz Karch 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 Grzegorz Karch 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

Grzegorz Karch is affiliated with the University of Wrocław in Poland and specializes in mathematics and computer science. Their research spans several subfields, including computational theory and mathematics, applied mathematics, modeling and simulation, computer networks and communications, and numerical analysis.

The scientist's work covers key topics such as advanced mathematical modeling in engineering, mathematical biology tumor growth, nonlinear dynamics and pattern formation, differential equations and numerical methods, mathematical and theoretical epidemiology and ecology models, Navier-Stokes equation solutions, as well as advanced mathematical physics problems.

Recent publications by Grzegorz Karch reflect these diverse interests. They include:

  • Instability of all regular stationary solutions to reaction-diffusion-ODE systems (2022, Journal of Differential Equations)
  • Stable discontinuous stationary solutions to reaction-diffusion-ODE systems (2023, Communications in Partial Differential Equations)
  • Stability of singular solutions to the Navier-Stokes system (2022, Journal of Differential Equations)
  • A Framework for Nonlocal, Nonlinear Initial Value Problems (2020, SIAM Journal on Mathematical Analysis)
  • Mathematical treatment of PDE model of chemotactic E. coli colonies (2021, Journal of Differential Equations)

Grzegorz Karch collaborates frequently with several researchers. Frequent coauthors include Szymon Cygan, Anna Marciniak-Czochra, Piotr Biler, Hiroshi Wakui, and Alexandre Boritchev.

Their publications are found in journals and venues such as arXiv, Journal of Differential Equations, Communications in Partial Differential Equations, SIAM Journal on Mathematical Analysis, and Journal of Evolution Equations. ArXiv hosts the largest number of their publications, followed by the Journal of Differential Equations.

Best Publications

  • Selfsimilar profiles in large time asymptotics of solutions to damped wave equations

    Grzegorz Karch

  • The 8π-problem for radially symmetric solutions of a chemotaxis model in the plane

    Piotr Biler;Grzegorz Karch;Philippe Laurençot;Tadeusz Nadzieja

  • Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws

    Piotr Biler;Grzegorz Karch;Wojbor A Woyczyński

  • Smooth or singular solutions to the Navier-Stokes system ?

    Marco Cannone;Grzegorz Karch;Grzegorz Karch

  • Asymptotic Behaviour of Solutions to some Pseudoparabolic Equations

    Grzegorz Karch

  • Blowup of solutions to generalized Keller–Segel model

    Piotr Biler;Grzegorz Karch

  • The Nonlocal Porous Medium Equation: Barenblatt Profiles and Other Weak Solutions

    Piotr Biler;Cyril Imbert;Grzegorz Karch

  • Global regular and singular solutions for a model of gravitating particles

    Piotr Biler;Marco Cannone;Ignacio A. Guerra;Grzegorz Karch

  • Asymptotics for conservation laws involving Levy diffusion generators

    Piotr Biler;Grzegorz Karch;Wojbor A. Woyczyński

  • Asymptotics for multifractal conservation laws

    Piotr Biler;Grzegorz Karch;Wojbor A. Woyczynski

  • Barenblatt profiles for a nonlocal porous medium equation

    Piotr Biler;Cyril Imbert;Grzegorz Karch

  • The $8\pi$-problem for radially symmetric solutions of a chemotaxis model in a disc

    Piotr Cezary Biler;Grzegorz Karch;Philippe Laurençot;Tadeusz Nadzieja

  • Scaling in Nonlinear Parabolic Equations

    Grzegorz Karch

  • Nonlocal porous medium equation: Barenblatt profiles and other weak solutions

    Piotr Biler;Cyril Imbert;Grzegorz Karch

  • Nonlinear Diffusion of Dislocation Density and Self-Similar Solutions

    Piotr Biler;Grzegorz Karch;Régis Monneau

  • Asymptotic Properties of Entropy Solutions to Fractal Burgers Equation

    Nathael Alibaud;Cyril Imbert;Grzegorz Karch

  • Fractal Hamilton-Jacobi-KPZ equations

    Grzegorz Karch;Wojbor A. Woyczynski

  • Self-similar large time behavior of solutions to Korteweg-de Vries-Burgers equation

    Grzegorz Karch

  • Asymptotic profiles of solutions to viscous Hamilton-Jacobi equations

    Saïd Benachour;Grzegorz Karch;Philippe Laurençot

  • Barenblatt profiles for a nonlocal porous media equation

    Piotr Biler;Cyril Imbert;Grzegorz Karch

Frequent Co-Authors

Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute
Cyril Imbert
Cyril Imbert École Normale Supérieure
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Masayasu Mimura
Masayasu Mimura Hiroshima University
Maria J. Esteban
Maria J. Esteban Paris Dauphine University

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