Katrin Grunert
Bakgrunn og aktiviteter
Jeg er professor ved Institutt for matematiske fag. Jeg har en master og en doktorgrad i matematikk fra Universität Wien, Østerrike.
Vitenskapelig, faglig og kunstnerisk arbeid
Et utvalg av nyere tidsskriftspublikasjoner, kunstneriske produksjoner, bok, inklusiv bokdeler og rapport-del. Se alle publikasjoner i databasen
Tidsskriftspublikasjoner
- (2020) A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma. vol. 8 (e27).
- (2019) A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations. vol. 44 (4).
- (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. Series A. 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).
Del av bok/rapport
- (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.