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Kenneth H. Karlsen

Kenneth H. Karlsen

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Mathematics
Norway
2026

D-Index & Metrics

Mathematics

D-Index
63
Citations
9990
World Ranking
449
National Ranking
2

Kenneth H. Karlsen 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 Kenneth H. Karlsen 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: 230 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

Kenneth H. Karlsen 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 Kenneth H. Karlsen 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: 63 D-Index — 88th percentile

88% 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

  • 2026 - Research.com Mathematics in Norway Leader Award
  • 2025 - Research.com Mathematics in Norway Leader Award
  • 2023 - Research.com Mathematics in Norway Leader Award
  • 2022 - Research.com Mathematics in Norway Leader Award
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics
  • Member of the Norwegian Academy of Science and Letters Mathematics

Overview

Kenneth H. Karlsen is affiliated with the University of Oslo in Norway. Their research primarily focuses on mathematics with specific attention to applied mathematics, mathematical physics, and finance. The researcher's work also encompasses statistical and nonlinear physics as well as computational mechanics.

Their contributions cover various advanced mathematical topics, including stochastic processes and financial applications, advanced mathematical physics problems, and advanced mathematical modeling in engineering. Additional research areas include Navier-Stokes equation solutions, nonlinear waves and solitons, geometric analysis and curvature flows, and fluid dynamics and turbulent flows.

Karlsen's recent published papers include:

  • Global well-posedness of the viscous Camassa-Holm equation with gradient noise, 2022, Discrete and Continuous Dynamical Systems
  • Global existence of dissipative solutions to the Camassa-Holm equation with transport noise, 2024, Journal of Differential Equations
  • A nonlocal Lagrangian traffic flow model and the zero-filter limit, 2024, Zeitschrift für angewandte Mathematik und Physik
  • Homogenization of stochastic conservation laws with multiplicative noise, 2022, Journal of Functional Analysis
  • Martingale solutions of stochastic nonlocal cross-diffusion systems, 2022, Networks and Heterogeneous Media

Frequent co-authors working with Karlsen are:

  • Peter H. C. Pang
  • Helge Holden
  • Luca Galimberti
  • Giuseppe Maria Coclite
  • Nils Henrik Risebro

Their publications often appear in the following journals and venues:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Zeitschrift für angewandte Mathematik und Physik
  • Stochastic Processes and their Applications
  • Discrete and Continuous Dynamical Systems

Kenneth H. Karlsen is recognized as a member of the Norwegian Academy of Science and Letters in the field of mathematics.

Best Publications

  • On the well-posedness of the Degasperis-Procesi equation

    Giuseppe M. Coclite;Kenneth H. Karlsen

  • Splitting methods for partial differential equations with rough solutions : analysis and MATLAB programs

    Helge Holden;Kenneth Hvistendahl Karlsen;Knut-Andreas Lie;Nils Henrik Risebro

  • A Theory of L 1 -Dissipative Solvers for Scalar Conservation Laws with Discontinuous Flux

    Boris Andreianov;Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression

    Elmer M. Tory;Kenneth H. Karlsen;Raimund Bürger;Stefan Berres

  • L¹ STABILITY FOR ENTROPY SOLUTIONS OF NONLINEAR DEGENERATE PARABOLIC CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

    Kenneth H. Karlsen;Nils Henrik Risebro;John D. Towers

  • On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients

    Kenneth Hvistendahl Karlsen;Nils Henrik Risebro

  • Global weak solutions to a generalized hyperelastic-rod wave equation

    Giuseppe Maria Coclite;Helge Holden;Kenneth H. Karlsen

  • CONVERGENCE OF THE LAX-FRIEDRICHS SCHEME AND STABILITY FOR CONSERVATION LAWS WITH A DISCONTINUOUS SPACE-TIME DEPENDENT FLUX

    Kenneth H. Karlsen;John D. Towers

  • A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units

    Raimund Bürger;Kenneth H. Karlsen;John D. Towers

  • Well-posedness in BV t and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units

    R. Bürger;K. H. Karlsen;N. H Risebro;J. D. Towers

  • OPTIMAL PORTFOLIO SELECTION WITH CONSUMPTION AND NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS WITH GRADIENT CONSTRAINT: A VISCOSITY SOLUTION APPROACH

    Fred Espen Benth;Kenneth Hvistendahl Karlsen;Kristin Reikvam

  • WELLPOSEDNESS FOR A PARABOLIC-ELLIPTIC SYSTEM

    Giuseppe Maria Coclite;Helge Holden;Kenneth H. Karlsen

  • Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient

    K. H. Karlsen;N. H. Risebro;J. D. Towers

  • Monotone Difference Approximations Of BV Solutions To Degenerate Convection-Diffusion Equations

    Steinar Evje;Kenneth Hvistendahl Karlsen

  • A “maximum principle for semicontinuous functions” applicable to integro-partial differential equations

    Espen R. Jakobsen;Kenneth H. Karlsen;Kenneth H. Karlsen

  • CONTINUOUS DEPENDENCE ESTIMATES FOR VISCOSITY SOLUTIONS OF INTEGRO-PDES

    Espen R. Jakobsen;Kenneth H. Karlsen;Kenneth H. Karlsen

  • A FAMILY OF NUMERICAL SCHEMES FOR KINEMATIC FLOWS WITH DISCONTINUOUS FLUX

    R. Bürger;A. García;K. H. Karlsen;J. D. Towers

  • An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections

    Raimund Bürger;Kenneth H. Karlsen;John D. Towers

  • Numerical solution of reservoir flow models based on large time step operator splitting algorithms

    Magne S. Espedal;Kenneth Hvistendahl Karlsen

  • Global existence of weak solutions for a viscous two-phase model

    Steinar Evje;Kenneth H. Karlsen

  • Nonlinear Partial Differential Equations

    Helge Holden;Kenneth H. Karlsen

  • Global Weak Solutions for a Shallow Water Equation

    Giuseppe Maria Coclite;H Holden;H Holden;K. H. Karlsen

Frequent Co-Authors

Nils Henrik Risebro
Nils Henrik Risebro University of Oslo
Raimund Bürger
Raimund Bürger University of Concepción
Helge Holden
Helge Holden Norwegian University of Science and Technology
Fred Espen Benth
Fred Espen Benth BI Norwegian Business School
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Christian Klingenberg
Christian Klingenberg University of Würzburg
Terence Tao
Terence Tao University of California, Los Angeles
Eitan Tadmor
Eitan Tadmor University of Maryland, College Park
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

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