Katrin Grunert

Professor

Department of Mathematical Sciences

katrin.grunert@ntnu.no +47 73593537

Sentralbygg 2, *1150, Gløshaugen, Alfred Getz vei 1

katrin.grunert@ntnu.no

Katrin Grunert is a Professor at the Department of Mathematical Sciences. She has a MSc and a PhD in Mathematics from the University of Vienna, Austria.

Current projects

Principal investigator of the RCN Young Research Talent project Wave Phenomena and Stability - a Shocking Combination, 2019-2023.
Participant in the RCN Toppforsk project Waves and Nonlinear Phenomena, 2016-2021.

Recent Work Experience

2019 Professor at the Department of Mathematical Sciences, NTNU
2015-2018 Associate Professor at the Department of Mathematical Sciences, NTNU
2013-2015 Postdoc at the Department of Mathematical Sciences, NTNU
2011-2013 Research stay at NTNU, supported by the Erwin Schrödinger fellowship J 3147 of the Austrian Science Fund (FWF)
2010-2011 Research assistant at the Faculty of Mathematics, University of Vienna

Fellowships

2011 Erwin Schrödinger Fellowship of the FWF for a 2 year research stay at the Department of Mathematical Sciences, NTNU for the project J 3147 Wave breaking for nonlinear wave equations
2009 Yggdrasil Fellowship of the Research Council of Norway for the project 195792/V 11, Stability of solutions of the Camassa-Holm equation

Awards

2010/2011 Laudimaxima Award of the University of Vienna
2011 Studienpreis of the Austrian Mathematical Society for my PhD thesis
2010 Award of Excellence of the Austrian Federal Ministry for Science and Research for my PhD thesis
2009 Studienpreis of the Austrian Mathematical Society for my Diploma thesis

Katrin Grunert is currently supervising 5 PhD students.

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

Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations. vol. 44 (4).
Carrillo, José A; Grunert, Katrin; Holden, Helge. (2019) A Lipschitz metric for the Hunter-Saxton equation. Communications in Partial Differential Equations. vol. 44 (4).
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. vol. 15 (3).
Eckhardt, Jonathan; Grunert, Katrin. (2017) A Lagrangian view on complete integrability of the conservative Camassa– Holm flow. Journal of Integrable systems.
Grunert, Katrin. (2016) Solutions of the Camassa-Holm equation with accumulating breaking times. Dynamics of Partial Differential Equations. vol. 13 (2).
Grunert, Katrin; Holden, Helge. (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. vol. 13 (2).
Grunert, Katrin; Nguyen, Khai Tien. (2016) On the Burgers–Poisson equation. Journal of Differential Equations. vol. 261 (6).
Grunert, Katrin. (2015) Blow-up for the two-component Camassa-Holm system. Discrete and Continuous Dynamical Systems. Series A. vol. 35 (5).
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
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. vol. 3.
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. vol. 17 (1).
Grunert, Katrin. (2013) Scattering theory for Schrodinger operators on steplike, almost periodic infinite-gap backgrounds. Journal of Differential Equations. vol. 254 (6).
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A. vol. 33 (7).
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. vol. 32 (12).
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. vol. 37 (12).
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. vol. 250 (3).

Part of book/report

Grunert, Katrin; Holden, Helge; Grasmair, Markus. (2018) On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg.
Raynaud, Xavier; Grunert, Katrin. (2018) Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system. Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume.
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2014) Lipschitz metric for the two-component Camassa-Holm system. Hyperbolic Problems: Theory, Numerics, Applications.
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. (2013) Periodic conservative solutions for the two-component Camassa-Holm system. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday.