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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

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

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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