Dr. Matthias Röger

Contact

Address

Hausdorff center for mathematics
Universität Bonn
Ehem. LWK, R. 253
Endenicher Allee 60
53115 Bonn

E-mail

roeger at hcm.uni-bonn.de

phone

+49 (0)228 7362298

Research Interests

• Geometric Evolution laws for Free Boundaries,
• Geometric measure theory,
• Variational problems,
• Reaction-Diffusion equations and singular limits,
• Applications in biology.

Activities

Miniworkshop Mathematics of biomembranes, Oberwolfach 09/2008

organized with B. Niethammer (Oxford), H. Garcke (Regensburg), M. A. Peletier (Eindhoven)

Program

Minisymposium Singular structures in variational PDE, ECM 2008 Amsterdam

organized with M. A. Peletier (TU Eindhoven)
Program

Minisymposium Mechanical properties of biomembranes, ICIAM 07 Zürich

organized with R. Dimova (MPI für Kolloid und Grenzflächenforschung, Golm)
Program

Seminar Mikrostrukturen, MPI Leipzig

organized with S. Müller WS 07/08

Seminar Materialien, MPI Leipzig

organized with S. Müller WS 07/08

working group Large deviations, WS 08/09, MPI Leipzig

working group Stochastic differential equations, WS 07/08, MPI Leipzig

Teaching experience

Vorlesungsbetreuung Sommersemester 2009

Einführung in die Partiellen Differentialgleichungen.

Visiting professorship (Vertretungsprofessur), University of Regensburg SS 2008

Vorlesung Funktionalanalysis

Proseminar Analytische Geometrie (Lehramt)

Course at the Eindhoven University of Technology, Trimester 4.2 (2006).

Mathematical models in physiology.

Publications

Articles

• L. Mugnai, M. Röger
  Convergence of perturbed Allen-Cahn equations to forced mean curvature flow.
  Preprint arXiv:0902.1816v1 [math.AP]
• H. Abels, M. Röger
  Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids.
  Preprint arXiv:0810.3987v1 [math.AP]
• M. A. Peletier, M. Röger
  Partial Localization, Lipid Bilayers, and the Elastica Functional.
  Archive for Rational Mechanics and Analysis, online first (2008)
  DOI: 10.1007/s00205-008-0150-4
  The original publication is available at http://www.springerlink.com
  Preprint arXiv:math-ph/0607024
• L. Mugnai, M. Röger
  The Allen-Cahn action functional in higher space dimensions.
  Interfaces and Free Boundaries 10 (2008), 45-78.
  The original publication is available at http://www.ems-ph.org/
  Preprint arXiv:0704.1954v1 [math.AP].
• M. A. Peletier, Robert Planqué, M. Röger
  Sobolev regularity and an enhanced Jensen inequality.
  Annali della Scuola Normale - Classe di Scienze 6 (2008), 499-510.
  Preprint arXiv:math.FA/0701412.
• M. Röger, Y. Tonegawa
  Convergence of phase-field approximations to the Gibbs-Thomson law.
  Calc. Var. Partial Differ. Equat. 32 (2008). 111-136
  doi: 10.1007/s00526-007-0133-6
  The original publication is available at http://www.springerlink.com/
  Preprint arXiv:math.AP/0703689 (2007).
• T.L. van Noorden, I.S. Pop, M. Röger
  Crystal dissolution and precipitation in porous media: L1-contraction and uniqueness.
  DCDS Supplements (2007), 1013--1020
  The original publication is available at http://aimsciences.org
  Preprint CASA report 06/32
• D. Hilhorst, J. R. King, M. Röger
  Travelling-wave analysis of a model describing tissue degradation by bacteria.
  EJAM 18 (2007), no. 5, 583-605
  doi: 10.1017/S0956792507007139
  The original publication is available at http://journals.cambridge.org/
  Preprint arXiv:math.AP/0702886 (2007).
• D. Hilhorst, J. R. King, M. Röger
  Mathematical analysis of a model describing the invasion of bacteria in burn wounds.
  Nonlinear Analysis (TMA) 66 (2007), no. 6, 1118-1140.
  The original publication is available at http://www.sciencedirect.com
  Preprint CASA report No. 21
• M. Röger, R. Schätzle
  On a modified conjecture of De Giorgi,
  Math. Z. 254 (2006), no. 4, 675--714,
  DOI: 10.1007/s00209-006-0002-6.
  The original publication is available at http://www.springerlink.com
  Preprint CASA report No. 33
• M. Röger
  Existence of weak solutions for the Mullins-Sekerka flow.
  Siam J. Math. Anal. 37 (2005), 291-301,
  DOI: 10.1137/S0036141004439647.
  The original publication is available at http://epubs.siam.org/
  Preprint.
• M. Röger
  Solutions for the Stefan problem with Gibbs-Thomson law by a local minimisation.
  Interfaces and Free Boundaries 6 (2004), 105-133,
  The original publication is available at http://www.ems-ph.org/
  Preprint.

Conference proceedings

• M. Röger,
  Existence of weak solutions for the Mullins-Sekerka flow,
  (download preprint)
  Free Boundary Problems Theory and Applications, International Series of Numerical Mathematics, Vol. 154, Birkhäuser Verlag, (2007)
• M. Röger,
  On a modified conjecture of De Giorgi
  Oberwolfach report 33/2005, Partielle Differentialgleichungen
• M. A. Peletier, M. Röger,
  Cell membranes, Lipid Bilayers, and the Elastica Functional
  PAMM 6 (2006), no. 1, 11--14,
  GAMM Jahrestagung 2006, Berlin
• R. H. Bisseling, J. Byrka, S. Cerav-Erbas, N. Gvozdenovic, M. Lorenz, R. Pendavingh, C. Reeves, M. Röger and Arie Verhoeven
  Partitioning a Call Graph (preprint)
  Study Group Mathematics with Industry, Amsterdam 2005.

Dissertations

• PhD thesis
  Löungen für das Stefan Problem mit Gibbs-Thomson bei einer lokalen Minimierung,
• Diploma thesis
  Existenz schwacher Lösungen für ein Model reaktiver Flüsse in porösen Medien.

Useful links

Vorlesungszeiten NRW

How to find me:

Math center Endenicher Allee 60