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Mathematics
Norway
2026

D-Index & Metrics

Mathematics

D-Index
52
Citations
11052
World Ranking
958
National Ranking
6

Research.com Recognitions

  • 2026 - Research.com Mathematics in Norway Leader Award
  • 2025 - Research.com Mathematics in Norway Leader Award
  • 2020 - Fellow, The World Academy of Sciences
  • 2018 - Member of Academia Europaea
  • 2017 - SIAM Fellow For contributions to nonlinear partial differential equations and related fields, to research administration, and to the dissemination of mathematics.
  • 2014 - Fellow of the American Mathematical Society For contributions to partial differential equations.
  • 2009 - Member of the European Academy of Sciences

Overview

Helge Holden is affiliated with the Norwegian University of Science and Technology in Norway. Their research primarily spans mathematics and engineering, with a strong focus on several subfields including mathematical physics, applied mathematics, statistical and nonlinear physics, computational mechanics, and finance.

Their main topics of study cover a range of areas:

  • Advanced Mathematical Physics Problems
  • Navier-Stokes equation solutions
  • Stochastic processes and financial applications
  • Traffic control and management
  • Computational Fluid Dynamics and Aerodynamics
  • Nonlinear Waves and Solitons
  • Fluid Dynamics and Turbulent Flows

Helge Holden's publication record includes papers in prominent journals and venues. Some recent papers include:

  • "Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig-MacArthur predator-prey model" (2021, Proceedings of the National Academy of Sciences)
  • "Global well-posedness of the viscous Camassa-Holm equation with gradient noise" (2022, Discrete and Continuous Dynamical Systems)
  • "On the accuracy of the finite volume approximations to nonlocal conservation laws" (2023, Numerische Mathematik)
  • "Noise-driven bifurcations in a neural field system modelling networks of grid cells" (2022, Journal of Mathematical Biology)
  • "Global existence of dissipative solutions to the Camassa-Holm equation with transport noise" (2024, Journal of Differential Equations)

The scientist frequently publishes in venues including:

  • arXiv (Cornell University)
  • Proceedings of the National Academy of Sciences
  • Journal of Differential Equations
  • Nonlinearity
  • Discrete and Continuous Dynamical Systems

Collaborations have been a significant part of their work, with frequent co-authors including Kenneth H. Karlsen, Peter H. C. Pang, Aekta Aggarwal, Ganesh Vaidya, and Katrin Grunert.

Helge Holden has received several recognitions in the academic community. These include:

  • Fellow, The World Academy of Sciences (2020)
  • Member of Academia Europaea (2018)
  • SIAM Fellow (2017) for contributions to nonlinear partial differential equations and related fields, as well as research administration and mathematical dissemination
  • Fellow of the American Mathematical Society (2014) for contributions to partial differential equations
  • Member of the European Academy of Sciences (2009)

Best Publications

  • Stochastic partial differential equations

    Helge Holden;Bernt Øksendal;Jan Ubøe;Tusheng Zhang

  • Front Tracking for Hyperbolic Conservation Laws

    Helge Holden;Nils Henrik Risebro

  • Stochastic Partial Differential Equations: A Modeling, White Noise Functional Approach

    Helge Holden;Bernt Øksendal;Jan Ubøe;Tusheng Zhang

  • Solvable Models in Quantum Mechanics: Second Edition

    S. Albeverio;F. Gesztesy;R. Høegh-Krohn;H. Holden

  • Soliton Equations and their Algebro-Geometric Solutions

    Fritz Gesztesy;Helge Holden

  • A mathematical model of traffic flow on a network of unidirectional roads

    Helge Holden;Nils Henrik Risebro

  • Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]

    Harald Hanche-Olsen;Helge Holden;Helge Holden

  • Global Conservative Solutions of the Camassa–Holm Equation—A Lagrangian Point of View

    Helge Holden;Xavier Raynaud

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

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

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

    Giuseppe Maria Coclite;Helge Holden;Kenneth H. Karlsen

  • The Kolmogorov-Riesz compactness theorem

    Harald Hanche-Olsen;Helge Holden

  • Dissipative solutions for the Camassa-Holm equation

    Helge Holden;Xavier Raynaud

  • WELLPOSEDNESS FOR A PARABOLIC-ELLIPTIC SYSTEM

    Giuseppe Maria Coclite;Helge Holden;Kenneth H. Karlsen

  • Algebro-Geometric Solutions of the Camassa-Holm hierarchy

    Fritz Gesztesy;Helge Holden

  • On absence of diffusion near the bottom of the spectrum for a random Schrödinger operator on $L^{2}({f R}^{ u})$

    Fabio Martinelli;Helge Holden

  • Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchies

    W. Bulla;F. Gesztesy;H. Holden;G. Teschl

  • OPERATOR SPLITTING FOR THE KdV EQUATION

    Helge Holden;Kenneth H. Karlsen;Nils Henrik Risebro;Terence Tao

  • A NUMERICAL METHOD FOR FIRST ORDER NONLINEAR SCALAR CONSERVATION LAWS IN ONE-DIMENSION

    H. Holden;L. Holden;R. Høegh-Krohn

  • A New Front-Tracking Method for Reservoir Simulation

    Frode Bratvedt;Kyrre Bratvedt;C.F. Buchholz;Lars Holden

  • The burgers equation with a noisy force and the stochastic heat equation

    Helge Holden;Tom Lindstrøm;Bernt Øksendal;Jan Ubøe

  • Soliton Equations and Their Algebro-Geometric Solutions: Bibliography

    Fritz Gesztesy;Helge Holden

  • 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

Fritz Gesztesy
Fritz Gesztesy Baylor University
Nils Henrik Risebro
Nils Henrik Risebro University of Oslo
Kenneth H. Karlsen
Kenneth H. Karlsen University of Oslo
Gerald Teschl
Gerald Teschl University of Vienna
Sergio Albeverio
Sergio Albeverio University of Bonn
Bernt Øksendal
Bernt Øksendal University of Oslo
Barry Simon
Barry Simon California Institute of Technology
Tusheng Zhang
Tusheng Zhang University of Manchester
Rinaldo M. Colombo
Rinaldo M. Colombo University of Brescia

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