Helge Holden

Professor

Department of Mathematical Sciences

helge.holden@ntnu.no +47 73593514 +47 92038625

Sentralbygg 2, 1156, Gløshaugen, Alfred Getz vei 1

Activities:

I am the Principal Investigator of the research project ("Toppforsk") Waves and Nonlinear Phenomena (WaNP). I am the Secretary General of the International Mathematical Union (IMU). On the occasion of my 60th anniversary in 2016 the conference Non-linear PDEs, mathematical physics, and stochastic analysis was hosted here at NTNU. See proceedings Non-Linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis, European Mathematical Society Publishing House.

Research areas:

Differential equations, mathematical physics; in particular hyperbolic conservation laws and completely integrable systems. Stochastic analysis and flow in porous media.

Teaching:

Spring 2020: MA8105 Nonlinear PDEs and Sobolov Spaces

Fall 2021: TMA4305 Partial Differential Equations

Scientific, academic and artistic work

A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database

Journal publications

Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Chr.. (2021) The concept of evolutionarily stable strategies (ESS) helps link ecology and evolution. Proceedings of the National Academy of Sciences of the United States of America. vol. 118 (18).
Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model. Proceedings of the National Academy of Sciences of the United States of America. vol. 118 (4).
Holden, Helge; Karlsen, Kenneth Hvistendahl; Pang, Ho Cheung. (2021) The Hunter-Saxton equation with noise. Journal of Differential Equations. vol. 270.
Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma. vol. 8 (e27).
Colombo, Rinaldo M; Holden, Helge; Marcellini, Francesca. (2020) On the microscopic modeling of vehicular traffic on general networks. SIAM Journal on Applied Mathematics. vol. 80 (3).
Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations. vol. 44 (4).
Holden, Helge; Risebro, Nils Henrik. (2019) Models for dense multilane vehicular traffic. SIAM Journal on Mathematical Analysis. vol. 51 (5).
Hanche-Olsen, Harald; Holden, Helge; Malinnikova, Eugenia. (2018) An improvement of the Kolmogorov?Riesz compactness theorem. Expositiones mathematicae.
Holden, Helge; Risebro, Nils Henrik. (2018) Continuum limit of Follow-the-Leader models – a short proof. Discrete and Continuous Dynamical Systems. Series A. vol. 38 (2).
Holden, Helge; Risebro, Nils Henrik. (2018) Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow. Networks and Heterogeneous Media. vol. 13 (3).
Eckhardt, Jonathan; Gesztesy, Fritz; Holden, Helge; Kostenko, Aleksey; Teschl, Gerald. (2017) Real-Valued Algebro-Geometric Solutions of the Two-Component Camassa–Holm Hierarchy. Annales de l'Institut Fourier. vol. 67 (3).
Behrndt, Jussi; Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Dirichlet-to-Neumann maps, abstract Weyl–Titchmarsh M-functions, and a generalized index of unbounded meromorphic operator-valued functions. Journal of Differential Equations. vol. 261 (6).
Colombo, Rinaldo M; Holden, Helge. (2016) Isentropic fluid dynamics in a curved pipe. Zeitschrift für Angewandte Mathematik und Physik. vol. 67 (5).
Colombo, Rinaldo; Holden, Helge. (2016) On the Braess Paradox with Nonlinear Dynamics and Control Theory. Journal of Optimization Theory and Applications. vol. 168 (1).
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2016) Convergence of finite difference schemes for the Benjamin–Ono equation. Numerische Mathematik. vol. 134 (2).
Gesztesy, Fritz; Holden, Helge; Nichols, Roger. (2016) Erratum to: On Factorizations of Analytic Operator-Valued Functions and Eigenvalue Multiplicity Questions. Integral equations and operator theory.
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. vol. 13 (2).
Hanche-Olsen, Harald; Holden, Helge. (2016) Addendum to “The Kolmogorov-Riesz compactness theorem” [Expo. Math. 28 (2010) 385–394]. Expositiones mathematicae. vol. 34.
Holden, Helge. (2016) Burgers meets Braess. Oberwolfach Reports. vol. 13 (2).
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik. (2015) Operator splitting for the Benjamin-Ono equation. Journal of Differential Equations. vol. 259 (11).

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