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Research
- Research interests
- Nonlinear Partial Differential Equations
- Mathematical methods for multiscale problems
- Cogulation- and fragmentation processes
- Kinetic equations
- Free boundary problems
- Kinetics of phase transitions
- Mathematical aspects of materials science
- Scaling laws and self-similarity
-
Current PhD Students
- Michael Helmers (U of Oxford)
-
Past PhD Students
- Reiner Henseler (HU Berlin, 2007)
- Dirk Peschka (HU Berlin, 2008, within GK 1128 , joint supervision with Andreas Münch)
- Sven-Joachim Kimmerle (HU Berlin, 2009)
- Editorial Work
- Oxford Centre for Nonlinear PDE
- Some research projects
Publications/Recent Preprints
-
A rigorous derivation of mean-field models for
diblock copolymer melts
(with Y. Oshita), Preprint -
Dynamics and self-similarity in min-driven clustering
to appear in Trans. AMS
(with G. Menon and R.L. Pego) Preprint on arXiv -
Self-similar solutions with fat tails in a coagulation model
with nonlocal drift
Comptes Rendus Mathematique, 347 (15/16) (2009), 909-914
(with M. Herrmann and P. Laurencot), Preprint on arXiv -
Crossover in coarsening rates for the Mullins-Sekerka model with kinetic drag
to appear in Proc. Roy. Soc. Edinb. Ser. A
(with S. Dai and R.L. Pego), Preprint -
Self-similar rupture of viscous thin films in the strong slip regime
(with D. Peschka and A. Münch), Preprint -
Thin film rupture for large slip
to appear in J. Engr. Math
(with D. Peschka and A. Münch) -
Self-similar solutions of the LSW model with encounters
J. Differential Equations 247 (2009), 2282-2309
(with M. Herrmann and J.J.L. Velazquez) Preprint on arXiv
A list of → publications can be found here.
Teaching
- HT 10:
Fixed point methods for nonlinear PDE
- TT 10:
Multivariable Calculus
Miscellaneous
-
SIAM Conference on Mathematical Aspects of Materials Science
Philadelphia, May 23-26, 2010
-
Workshop on Emerging Interfaces
Surrey, January 6-8, 2010
- Biomembranes: Modelling and Computation
Warwick, May 11, 2009 -
Miniworkshop on Mathematics of Biological Membranes
Oberwolfach, August 31 - September 6, 2008 -
Free Boundary Problems and Nonlinear PDE,
A conference in honor of Willi Alt's 60th birthday
Bonn, October 21-23, 2005
Short CV
| 1996 | PhD in Mathematics, University of Bonn | 1996-1997 | Postdoc, Courant Institute, NYU | 1997-2003 | Research Assistant (C1), University of Bonn | 2001 | Guest scientist, Max-Planck Institute for Mathematics in the Sciences, Leipzig | 2002 | Habilitation in Mathematics, University of Bonn | 2003 | Richard von Mises Prize awarded by GAMM | 2003-2007 | Full Professor (C4), Humboldt University of Berlin | 2007- | Professor, University of Oxford |