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 Research Report for 2013

Abteilung für Reine Mathematik

Prof. Dr. Ernst Kuwert

Eckerstraße 1
79104 Freiburg
Tel: +49 (0) 761 203-5585 Fax: +49 (0) 761 203-5541
Email ernst.kuwert@math.uni-freiburg.de
http://home.mathematik.uni-freiburg.de/kuwert/


Scientific Employees

  • Dr. Annibale Magni, Postdoc (m)
  • Dr. Yann Bernard, Postdoc (m), SFB/Transregio 71
  • Dipl.-Math. André Ludwig, Doktorand (m), SFB/Transregio 71
  • Dipl. Math. Marco Mattuschka, Doktorand (m)
  • Dipl. Math. Elena Mäder, Doktorand (w)
Entries in "Who is Who"

Main Research

  • Partielle Differentialgleichungen, Geometrische Analysis, Variationsrechnung, Willmorefunktional

Scientific and Research Projects


  • SFB/Transregio 71 "Geometric Partial Differential Equations", Freiburg/Tübingen
    • Project Manager: Prof. Dr. Ernst Kuwert (Sprecher)
    • Start/End of project: 2009 until 2013
    • Project Details
  • Project A3 of SFB/Transregio 71: Topology of Partitioning Surfaces.
    • Project Manager: Prof. Dr. Ernst Kuwert
    • Start/End of project: 2009 until 2013
    • Project Details
  • Project B3 of SFB/Transregio 71: Minimizers of the Willmore Functional with Prescribed Area and Enclosed Volume.
    • Project Manager: Prof. Dr. Ernst Kuwert
    • Start/End of project: 2009 until 2013
    • Project Details

Scientific publications

Journal Articles:
  • Bernard, Y., Riviere, T.: Singularity removability at branch points for Willmore surfaces. Pacific J. Math., 2013; 265: 257-311.
  • Breuning, P.: C1-regularity for local graph representations of immersions. Trans. Amer. Math. Soc., 2013; 365 (12): 6185-6198.
  • Kuwert, E., Lorenz, J.: On the stability of the CMC Clifford tori as constrained Willmore surfaces. Ann. Global Anal. Geom., 2013; 44 (1): 23-42.
  • Kuwert, E., Schätzle, R.: Minimizers of the Willmore functional under fixed conformal class. J. Differential Geom., 2013; 93 (3): 471-530.
  • Magni, A., Lussardi, L.: Γ-limits of convolution functionals. ESAIM Control Optim. Calc. Var., 2013; 19: 486-515.
  • Magni, A., Mantegazza, C., Tsatis, E.: Flow by mean curvature inside a moving ambient space. J. Evol. Equ., 2013; 13: 561-576.

Special Scientific Activities

Scientific Dissertations

Dissertations
  • Link, Florian: Gradient flow for the Willmore functional in Riemannian manifolds with bounded geometry, 2013.
  • Ludwig, Andre: A relaxed partitioning disk for strictly convex domains, 2013.
Degree Dissertations
  • Hopf, Katharina: Untersuchungen zur Wohlgestelltheit von Wellengleichungen vierter Ordnung und quasilinearen Schrödingergleichungen, 2013.
Bachelor
  • Maier, Nils: Curve-Shortening-Flow, 2013.
  • Simon, Christian: Elastische Kurven, 2013.
State Examinations
  • Henschel, Anna: Knotenenergie und ihre Möbius-Invarianz, 2013.
  • Kienzle, Maria: Regularitäts-Eigenschaft der Lösung des Plateau-Problems, 2013.