2025

• Grunert, Katrin; Christiansen, Thomas. (2025) A numerical view on α -dissipative solutions of the Hunter- Saxton equation. ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)
  Vitenskapelig artikkel

2024

• Christiansen, Thomas; Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne. (2024) A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter–Saxton Equation. Journal of Scientific Computing
  Vitenskapelig artikkel
• Grunert, Katrin. (2024) Uniqueness of dissipative solutions for the Camassa–Holm equation. Journal of Differential Equations
  Vitenskapelig artikkel
• Grunert, Katrin; Tandy, Matthew Laurence. (2024) A Lipschitz metric for α-dissipative solutions to the Hunter–Saxton equation. SN Partial Differential Equations and Applications (SN PDE)
  Vitenskapelig artikkel

2023

• Grunert, Katrin; Reigstad, Audun. (2023) A regularized system for the nonlinear variational wave equation. SN Partial Differential Equations and Applications (SN PDE)
  Vitenskapelig artikkel

2022

• Bressan, Alberto; Galtung, Sondre Tesdal; Grunert, Katrin; Nguyen, Khai Tien. (2022) Shock interactions for the Burgers-Hilbert equation. Communications in Partial Differential Equations
  Vitenskapelig artikkel
• Grunert, Katrin; Tandy, Matthew. (2022) Lipschitz stability for the Hunter-Saxton equation. Journal of Hyperbolic Differential Equations
  Vitenskapelig artikkel
• Galtung, Sondre Tesdal; Grunert, Katrin. (2022) Stumpons are non-conservative traveling waves of the Camassa–Holm equation. Physica D : Non-linear phenomena
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge. (2022) Uniqueness of conservative solutions for the Hunter–Saxton equation. Research in the Mathematical Sciences
  Vitenskapelig artikkel

2021

• Galtung, Sondre Tesdal; Grunert, Katrin. (2021) A numerical study of variational discretizations of the Camassa–Holm equation. BIT Numerical Mathematics
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge; Jakobsen, Espen Robstad; Stenseth, Nils Christian. (2021) Reply to Best and Ashby: 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 (PNAS)
  Brev til redaktøren
• Grunert, Katrin; Reigstad, Audun. (2021) Traveling waves for the nonlinear variational wave equation. SN Partial Differential Equations and Applications (SN PDE)
  Vitenskapelig artikkel
• Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. NTNU
  Doktorgradsavhandling
• 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 (PNAS)
  Vitenskapelig artikkel
• Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne. (2021) Numerical conservative solutions of the Hunter–-Saxton equation. BIT Numerical Mathematics
  Vitenskapelig artikkel

2020

• Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
  Vitenskapelig artikkel
• Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. NTNU
  Doktorgradsavhandling

2019

• Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
  Vitenskapelig artikkel

2018

• Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Springer Nature
  Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
• Raynaud, Xavier; Grunert, Katrin. (2018) Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system. European Mathematical Society (EMS) Press
  Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
• Grunert, Katrin; Nordli, Anders Samuelsen. (2018) Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system. Journal of Hyperbolic Differential Equations
  Vitenskapelig artikkel

2017

• Eckhardt, Jonathan; Grunert, Katrin. (2017) A Lagrangian view on complete integrability of the conservative Camassa– Holm flow. Journal of Integrable systems
  Vitenskapelig artikkel

2016

• Grunert, Katrin. (2016) Solutions of the Camassa-Holm equation with accumulating breaking times. Dynamics of Partial Differential Equations
  Vitenskapelig artikkel
• Grunert, Katrin; Nguyen, Khai Tien. (2016) On the Burgers–Poisson equation. Journal of Differential Equations
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations
  Vitenskapelig artikkel

2015

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma
  Vitenskapelig artikkel
• Grunert, Katrin. (2015) Blow-up for the two-component Camassa-Holm system. Discrete and Continuous Dynamical Systems. Series A
  Vitenskapelig artikkel

2014

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. American Institute of Mathematical Sciences (AIMS) Press
  Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications
  Vitenskapelig artikkel

2013

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. American Mathematical Society (AMS)
  Vitenskapelig Kapittel/Artikkel/Konferanseartikkel
• Grunert, Katrin. (2013) Scattering theory for Schrodinger operators on steplike, almost periodic infinite-gap backgrounds. Journal of Differential Equations
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A
  Vitenskapelig artikkel

2012

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A
  Vitenskapelig artikkel
• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations
  Vitenskapelig artikkel

2011

• Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
  Vitenskapelig artikkel