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  1. Ansatte

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English

Katrin Grunert

Last ned pressefoto
Last ned pressefoto
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Katrin Grunert

Professor
Institutt for matematiske fag

katrin.grunert@ntnu.no
73593537 Sentralbygg 2, *1150, Gløshaugen, Alfred Getz vei 1
Personal web page
Om Publikasjoner Undervisning Formidling

Om

Jeg er professor ved Institutt for matematiske fag. Jeg har en master og en doktorgrad i matematikk fra Universität Wien, Østerrike.

Se engelsk side for mer informasjon.

Publikasjoner

Preprints

  • S. T. Galtung and K. Grunert, Wave breaking for the nonlinear variational wave equation, arXiv:2502.19889.
  • T. Christiansen and K. Grunert, Rate of convergence for numerical α-dissipative solutions of the Hunter-Saxton equation, arXiv:2411.07712.
  • Kronologisk
  • Etter kategori
  • Se alle publikasjoner i Cristin

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

Tidsskriftspublikasjoner

  • 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
  • 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
  • Grunert, Katrin; Reigstad, Audun. (2023) A regularized system for the nonlinear variational wave equation. SN Partial Differential Equations and Applications (SN PDE)
    Vitenskapelig artikkel
  • 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
  • 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
  • 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
  • Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma
    Vitenskapelig artikkel
  • Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations
    Vitenskapelig artikkel
  • 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
  • Eckhardt, Jonathan; Grunert, Katrin. (2017) A Lagrangian view on complete integrability of the conservative Camassa– Holm flow. Journal of Integrable systems
    Vitenskapelig artikkel
  • 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
  • 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
  • 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
  • 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
  • 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
  • Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations
    Vitenskapelig artikkel

Del av bok/rapport

  • 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; 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. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. American Mathematical Society (AMS)
    Vitenskapelig Kapittel/Artikkel/Konferanseartikkel

Rapport

  • Reigstad, Audun; Grunert, Katrin; Lindqvist, Peter; Holden, Helge. (2021) A Regularized System for the Nonlinear Variational Wave Equation. NTNU
    Doktorgradsavhandling
  • Galtung, Sondre Tesdal; Holden, Helge; Grunert, Katrin; Raynaud, Xavier. (2020) Discretizations of Wave Equations and Applications of Variational Principles. NTNU
    Doktorgradsavhandling

Undervisning

Emner

  • TMA4305 - Partial Differential Equations
  • TMA4165 - Dynamical Systems

Formidling

2025

  • Vitenskapelig foredrag
    Grunert, Katrin. (2025) Numerical solutions of the Hunter-Saxton equation. Hyperbolic PDEs: Theorems and Applications 2025-05-21 - 2025-05-23
  • Vitenskapelig foredrag
    Grunert, Katrin. (2025) Numerical solutions of the Hunter-Saxton equation. numhyp25: Numerical Methods for Hyperbolic Problems 2025-06-09 - 2025-06-13
  • Vitenskapelig foredrag
    Grunert, Katrin. (2025) Numerical solutions of the Hunter-Saxton equation. Modelling of fluid propagation: mathematical theory and numerical approximation 2025-06-16 - 2025-06-19
  • Vitenskapelig foredrag
    Grunert, Katrin. (2025) Uniqueness for the Camassa-Holm equation. Paris - Seoul joint workshop on fluid dynamics 2025 2025-07-07 - 2025-07-11

2024

  • Vitenskapelig foredrag
    Grunert, Katrin. (2024) The Camassa-Holm equation - peakons and traveling waves. Department of Mathematics and Statistics Colloquium , Florida International University 2024-02-01 - 2024-02-01
  • Vitenskapelig foredrag
    Grunert, Katrin. (2024) Uniqueness for the Camassa-Holm equation. Equadiff 2024 2024-06-10 - 2024-06-14
  • Vitenskapelig foredrag
    Grunert, Katrin. (2024) The Camassa-Holm equation - Uniqueness . 2024 CMS Summer Meeting 2024-05-31 - 2024-06-03
  • Vitenskapelig foredrag
    Grunert, Katrin. (2024) The Camassa-Holm equation - Uniqueness. Nasjonalt matematikermøte 2024 2024-09-12 - 2024-09-13

2023

  • Vitenskapelig foredrag
    Grunert, Katrin. (2023) The Hunter-Saxton equation - stability and its consequences. Institut Mittag-Leffler Water Waves and Integrable Systems 2023-09-11 - 2023-09-15
  • Vitenskapelig foredrag
    Grunert, Katrin. (2023) Numerical conservative solutions of the Hunter-Saxton equation . NumHyp23: Numerical Methods for Hyperbolic Problems 2023-06-26 - 2023-06-30
  • Vitenskapelig foredrag
    Grunert, Katrin. (2023) Shock interactions for the Burgers-Hilbert equation. 29th Nordic Congress of Mathematicians 2023-07-03 - 2023-07-07

2022

  • Vitenskapelig foredrag
    Grunert, Katrin. (2022) Uniqueness of conservative solutions for the Hunter-Saxton equation. 18th International Conference on Hyperbolic Problems: Theory, Numerics, Applications 2022-06-20 - 2022-06-24
  • Vitenskapelig foredrag
    Grunert, Katrin. (2022) Traveling waves for nonlinear wave equations. Norwegian meeting on PDEs 2022-06-08 - 2022-06-10
  • Vitenskapelig foredrag
    Grunert, Katrin. (2022) Traveling waves for nonlinear wave equations. 28th Nordic Congress of Mathematicians 2022-08-18 - 2022-08-21

2021

  • Vitenskapelig foredrag
    Grunert, Katrin. (2021) Traveling waves for nonlinear wave equations. PDEA Webinar 2021-12-09 - 2021-12-09

2020

  • Vitenskapelig foredrag
    Grunert, Katrin. (2020) Lipschitz metrics for nonlinear PDEs. DMV Jahrestagung 2020 2020-09-14 - 2020-09-17

2019

  • Vitenskapelig foredrag
    Grunert, Katrin. (2019) Lipschitz metrics for nonlinear PDEs. Norwegian meeting on PDEs , Trondheim 2019-06-05 - 2019-06-07
  • Vitenskapelig foredrag
    Grunert, Katrin. (2019) Lipschitz metrics for nonlinear PDEs. Guiseppe Saccomandi, Perugia Yasemin Sengül, Istanbul Luigi Mini-Workshop on Mathematical Aspects of Nonlinear Wave Propagation in Solid Mechanics , Mathematisches Forschungsinstitut Oberwolfach 2019-03-03 - 2019-03-09

2018

  • Vitenskapelig foredrag
    Grunert, Katrin. (2018) Lipschitz metrics for the Hunter–Saxton equation. Summer school on Nonlocal Interactions in Partial Differential Equations and Geometry 2018-05-21 - 2018-05-25
  • Vitenskapelig foredrag
    Grunert, Katrin. (2018) Lipschitz metrics for a nonlinear PDE. TU München GAMM Annual Meeting 2018 , München 2018-03-19 - 2018-03-23
  • Vitenskapelig foredrag
    Grunert, Katrin. (2018) Lipschitz metrics for nonlinear PDEs. 17th International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP 2018) 2018-06-25 - 2018-06-29

2017

  • Vitenskapelig foredrag
    Grunert, Katrin. (2017) Lipschitz metrics for nonlinear PDEs. Workshop on Hyperbolic Problems 2017-10-26 - 2017-10-26
  • Vitenskapelig foredrag
    Grunert, Katrin. (2017) Lipschitz metrics for nonlinear PDEs. Workshop on Aggregation-Diffusion PDEs: Variational Principles, Nonlocality and Systems 2017-07-10 - 2017-07-14
  • Vitenskapelig foredrag
    Grunert, Katrin. (2017) A Lipschitz metric for the Hunter–Saxton equation. Workshop on PDEs: Modelling, Analysis and Numerical Simulation (PDE-MANS 2017) 2017-06-19 - 2017-06-23

2016

  • Vitenskapelig foredrag
    Grunert, Katrin. (2016) Blow-up for the two-component Camassa-Holm system. Non-linear PDEs, mathematical physics, and stochastic analysis - A conference in honour of Helge Holden 2016-07-04 - 2016-07-07
  • Vitenskapelig foredrag
    Grunert, Katrin. (2016) Blow-up for the two-component Camassa-Holm system. 16th International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP 2016) 2016-08-01 - 2016-08-05
  • Vitenskapelig foredrag
    Grunert, Katrin. (2016) Stability for weak solution of the Hunter–Saxton equation. Seminar 2016-10-13 - 2016-10-13

2014

  • Vitenskapelig foredrag
    Nordli, Anders Samuelsen; Grunert, Katrin. (2014) Lipschitz metric for the dissipative Hunter-Saxton system. 15th international conference on hyperbolic problems: Theory, numerics, applications , Rio de Janeiro 2014-07-27 - 2014-08-01

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