2021
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1. |
Nordli, Anders Samuelsen; Grunert, Katrin; Solem, Susanne. Numerical conservative solutions of the Hunter–-Saxton equation. BIT Numerical Mathematics 2021 s. - NTNU UiT
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2020
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Antonio Carrillo, José; Grunert, Katrin; Holden, Helge. A Lipschitz metric for the Camassa-Holm equation. Forum of Mathematics, Sigma 2020 ;Volum 8.(e27) s. - NTNU
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Galtung, Sondre Tesdal. Discretizations of Wave Equations and Applications of Variational Principles. : NTNU 2020 (ISBN 978-82-326-5008-8) 252 s. NTNU
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Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. DMV Jahrestagung 2020; 2020-09-14 - 2020-09-17 NTNU
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2019
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Antonio Carrillo, Jose; Grunert, Katrin; Holden, Helge. A Lipschitz metric for the Hunter–Saxton equation. Communications in Partial Differential Equations 2019 ;Volum 44.(4) s. 309-334 NTNU
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Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. Mini-Workshop on Mathematical Aspects of Nonlinear Wave Propagation in Solid Mechanics; 2019-03-03 - 2019-03-09 NTNU
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Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. Norwegian meeting on PDEs; 2019-06-05 - 2019-06-07 NTNU
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2018
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8. |
Grunert, Katrin. Lipschitz metrics for a nonlinear PDE. GAMM Annual Meeting 2018; 2018-03-19 - 2018-03-23 NTNU
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9. |
Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. 17th International Conference on Hyperbolic Problems: Theory, Numerics, Applications (HYP 2018); 2018-06-25 - 2018-06-29 NTNU
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10. |
Grunert, Katrin. Lipschitz metrics for the Hunter–Saxton equation. Summer school on Nonlocal Interactions in Partial Differential Equations and Geometry; 2018-05-21 - 2018-05-25 NTNU
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11. |
Grunert, Katrin; Holden, Helge; Grasmair, Markus. On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System. I: Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg. Springer Nature 2018 ISBN 978-3-319-89799-8. s. 157-201 NTNU
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12. |
Grunert, Katrin; Nordli, Anders Samuelsen. Existence and Lipschitz stability for α-dissipative solutions of the two-component Hunter–Saxton system. Journal of Hyperbolic Differential Equations 2018 ;Volum 15.(3) s. 559-597 NTNU
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13. |
Raynaud, Xavier; Grunert, Katrin. Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system. I: Non-linear Partial Differential Equations, Mathematical Physics, and Stochastic Analysis: The Helge Holden Anniversary Volume. European Mathematical Society (EMS) Publishing House 2018 ISBN 978-3-03719-186-6. s. 227-260 NTNU
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2017
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14. |
Eckhardt, Jonathan; Grunert, Katrin. A Lagrangian view on complete integrability of the conservative Camassa– Holm flow. Journal of Integrable systems 2017 NTNU
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15. |
Grunert, Katrin. 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 NTNU
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16. |
Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. Workshop on Hyperbolic Problems; 2017-10-26 - 2017-10-26 NTNU
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17. |
Grunert, Katrin. Lipschitz metrics for nonlinear PDEs. Workshop on Aggregation-Diffusion PDEs: Variational Principles, Nonlocality and Systems; 2017-07-10 - 2017-07-14 NTNU
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2016
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18. |
Grunert, Katrin. 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 NTNU
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19. |
Grunert, Katrin. 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 NTNU
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20. |
Grunert, Katrin. Solutions of the Camassa-Holm equation with accumulating breaking times. Dynamics of Partial Differential Equations 2016 ;Volum 13.(2) s. 91-105 NTNU
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21. |
Grunert, Katrin. Stability for weak solution of the Hunter–Saxton equation. Seminar; 2016-10-13 - 2016-10-13 NTNU
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22. |
Grunert, Katrin; Holden, Helge. The general peakon-antipeakon solution for the Camassa-Holm equation. Journal of Hyperbolic Differential Equations 2016 ;Volum 13.(2) s. 353-380 NTNU
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23. |
Grunert, Katrin; Nguyen, Khai Tien. On the Burgers–Poisson equation. Journal of Differential Equations 2016 ;Volum 261.(6) s. 3220-3246 NTNU
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2015
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24. |
Grunert, Katrin. Blow-up for the two-component Camassa-Holm system. Discrete and Continuous Dynamical Systems. Series A 2015 ;Volum 35.(5) s. 2041-2051 NTNU
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25. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. A continuous interpolation between conservative and dissipative solutions. Forum of Mathematics, Sigma 2015 s. - NTNU
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26. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system. Forum of Mathematics, Sigma 2015 ;Volum 3. s. - NTNU
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2014
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27. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics. Nonlinear Analysis: Real world applications 2014 ;Volum 17.(1) s. 203-244 NTNU UiO
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28. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. Lipschitz metric for the two-component Camassa-Holm system. I: Hyperbolic Problems: Theory, Numerics, Applications. American Institute of Mathematical Sciences (AIMS) 2014 ISBN 1-60133-017-0. s. 193-207 NTNU SINTEF UiO
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29. |
Nordli, Anders Samuelsen; Grunert, Katrin. Lipschitz metric for the dissipative Hunter-Saxton system. 15th international conference on hyperbolic problems: Theory, numerics, applications; 2014-07-27 - 2014-08-01 NTNU
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2013
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30. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. Periodic conservative solutions for the two-component Camassa-Holm system. I: Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. American Mathematical Society (AMS) 2013 ISBN 978-0-8218-7574-2. s. 165-182 NTNU UiO
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31. |
Grunert, Katrin. Scattering theory for Schrodinger operators on steplike, almost periodic infinite-gap backgrounds. Journal of Differential Equations 2013 ;Volum 254.(6) s. 2556-2586 NTNU
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32. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier. LIPSCHITZ METRIC FOR THE CAMASSA-HOLM EQUATION ON THE LINE. Discrete and Continuous Dynamical Systems. Series A 2013 ;Volum 33.(7) s. 2809-2827 NTNU UiO
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2012
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33. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. GLOBAL CONSERVATIVE SOLUTIONS TO THE CAMASSA-HOLM EQUATION FOR INITIAL DATA WITH NONVANISHING ASYMPTOTICS. Discrete and Continuous Dynamical Systems. Series A 2012 ;Volum 32.(12) s. 4209-4227 NTNU UiO
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34. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. Global Solutions for the Two-Component Camassa-Holm System. Communications in Partial Differential Equations 2012 ;Volum 37.(12) s. 2245-2271 NTNU UiO
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2011
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35. |
Grunert, Katrin; Holden, Helge; Raynaud, Xavier Marcel. Lipschitz metric for the periodic Camassa-Holm equation. Journal of Differential Equations 2011 ;Volum 250.(3) s. 1460-1492 NTNU UiO
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