Background and activities
Katrin Grunert is an Associate Professor at the Department of Mathematical Sciences. She has a MSc and a PhD in Mathematics from the University of Vienna, Austria.
- 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
- 2015- 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
- 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
- 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
- (2018) Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system. Journal of Hyperbolic Differential Equations. vol. 15 (3).
- (2017) A Lagrangian view on complete integrability of the conservative Camassa– Holm flow. Journal of Integrable systems.
- (2016) Solutions of the Camassa-Holm equation with accumulating breaking times. Dynamics of Partial Differential Equations. vol. 13 (2).
- (2016) The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations. vol. 13 (2).
- (2016) On the Burgers–Poisson equation. Journal of Differential Equations. vol. 261 (6).
- (2015) Blow-up for the two-component Camassa-Holm system. Discrete and Continuous Dynamical Systems. vol. 35 (5).
- (2015) A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma.
- (2015) A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma. vol. 3.
- (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).
- (2013) Scattering theory for Schrodinger operators on steplike, almost periodic infinite-gap backgrounds. Journal of Differential Equations. vol. 254 (6).
- (2013) LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A. vol. 33 (7).
- (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).
- (2012) Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations. vol. 37 (12).
- (2011) Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations. vol. 250 (3).
Part of book/report
- (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.
- (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.
- (2014) Lipschitz metric for the two-component Camassa-Holm system. Hyperbolic Problems: Theory, Numerics, Applications.
- (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.