PD Dr. Matthias Kurzke Institute for Applied Mathematics University of Bonn Section for Mathematical Methods in Physics   Endenicher Allee 60 D - 53115 Bonn   Room Z2.068 +49-228-73-2218 kurzke@iam.uni-bonn.de

Personal Information

Research Interests

• Calculus of variations and PDE with applications in physics and materials science
• Singularities in thin-film micromagnetics
• Ginzburg-Landau and Chern-Simons-Higgs functionals for superconductivity
• Dynamics for the singularities of variational problems

Recent publications

• Kurzke, M., Melcher, C., Moser, R., Spirn, D.: Vortex dynamics for the Landau-Lifshitz-Gilbert equation with excess energy. Preprint arXiv:1203.4426, 2012. To appear in Calc. Var. PDE
• Kurzke, M., Spirn, D.: Vortex liquids and the Ginzburg-Landau equation. Preprint arXiv:1105.4781, 2011.
• Kurzke, M., Melcher, C., Moser, R.: Vortex Motion for the Landau-Lifshitz-Gilbert Equation with Spin Transfer Torque. SFB Preprint 476, 2010. SIAM J. Math. Anal. 43 (2011), 1099-112.
• Kurzke, M., Spirn, D.: Gamma-stability and vortex motion in type II superconductors. SFB 611 Preprint 450, 2009. Comm. PDE 36, No. 2 (2011), 256-292 .
• Kurzke, M., Melcher, C., Moser, R., Spirn, D.: Ginzburg-Landau vortices driven by the Landau-Lifshitz-Gilbert equation. SFB 611 Preprint 449, 2009. Arch. Rat. Mech. Anal 199 No. 3 (2010), 843-888.
• Kurzke, M., Spirn, D.: Quantitative Equipartition of the Ginzburg-Landau Energy with Applications. SFB Preprint 442, 2009. Indiana Univ. Math. J. 59 (2010), 2077-2092.
• Kurzke, M., Melcher, C., Moser, R., Spirn, D.: Dynamics for Ginzburg-Landau vortices under a mixed flow. SFB 611 Preprint 428, 2008. Indiana Univ. Math. J. 58 No. 6 (2009), 2597-2622.
• Kurzke, M.: Compactness results for Ginzburg-Landau functionals with general potentials. Electronic Journal of Differential Equations 2010(2010), No. 28, pp. 1-9
• Kurzke, M., Spirn, D.: On the energy of superconductors in large and small domains. IMA Preprint 2164, 2007. SIAM J. Math. Anal. Volume 40, Issue 5, pp. 2077-2104 (2009)
• Kurzke, M., Spirn, D.: On the energy of a Chern-Simons-Higgs vortex lattice. In: S. Alama, L. Bronsard, P. Sternberg (eds.), Singularities in PDE and the Calculus of Variations, CRM Proceedings and Lecture Notes 44, 127-152 (2008).
• Kurzke, M., Spirn, D.: Scaling limits of the Chern-Simons-Higgs energy. Comm. Contemp. Mathematics 10, 1-16 (2008), IMA Preprint 2130
• Kurzke, M., Melcher, C., Moser, R.: Domain walls and vortices in thin ferromagnetic films. In: Analysis, Modeling and Simulation of Multiscale Problems, ed. by Alexander Mielke, Springer 2006. ISBN 978-3-540-35656-1; MPI MIS Preprint 45/2006
• Kurzke, M., Spirn, D.: Gamma limit of the non self-dual Chern-Simons-Higgs energy. Journal of Functional Analysis 255, 535-388 (2008), IMA Preprint 2111
• Kurzke, M.: The gradient flow motion of boundary vortices. IMA Preprint 2030, 2005. Ann. Inst. Henri Poincare, Analyse nonlineaire 24, 91-112 (2007).
• Kurzke, M.: Boundary vortices in thin magnetic films. Calc. Var. 26, 1-28 (2006).
• Kurzke, M.: A nonlocal singular perturbation problem with periodic well potential. ESAIM:COCV 12, 52-63 (2006).

Teaching