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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
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Current PhD Students
- Michael Helmers (U of Oxford)
-
Past PhD Students
- Reiner Henseler (HU Berlin, 2007)
- Dirk Peschka (HU Berlin, 2008, joint supervision with Andreas Münch)
- Sven-Joachim Kimmerle (HU Berlin, 2009)
- Editorial Work
- Oxford Centre for Nonlinear PDE
Publications/Recent Preprints
-
Self-similar solutions with fat tails for Smoluchowski's coagulation
equation with locally bounded kernels
(with J.J.L. Velazquez) Preprint on arXiv -
Kramers and non-Kramers phase transitions in many-particle systems with
dynamical constraint
(with M. Herrmann and J.J.L. Velazquez) Preprint on arXiv -
Self-similar solutions to a kinetic model for grain growth
to appear in J. Nonlinear Science (with M. Herrmann and P. Laurencot) Preprint on arXiv -
Optimal bounds for self-similar solutions to coagulation
equations with product kernel
Comm. Partial Differential Equations, 36/12 (2011), 2049-2061 (with J.J.L. Velazquez) Preprint on arXiv -
Weak solutions to lubrication equations in the presence
of strong slippage
Meth. Appl. Anal., 18/2 (2011), 183-202 (with G. Kitavstsev and P. Laurencot) Preprint -
Kramers' formula for chemical reactions in the context of a
Wasserstein gradient flow
Comm. Math. Sc., 9/2 (2011), 623-635 (with M. Herrmann) Preprint on arXiv -
Asymptotics of self-similar solutions to coagulation equations
with product kernel
J. Stat. Phys., 144 (2011), 76-100 (with J.B. McLeod and J.J.L. Velazquez) Preprint on arXiv -
Self-similar solutions with fat tails for a coagulation equation
with diagonal kernel
Comptes Rendus Mathematique, 349 (2011), 559-562
(with J.J.L. Velazquez) Preprint on arXiv -
On a model for mass aggregation with maximal size
Kinetic and Related Models, 4/2 (2011), 427-439
(with O. Budac, M. Herrmann and A. Spielmann) Preprint on arXiv
A list of → earlier publications can be found here.
Miscellaneous
- Pattern Formation and Multiscale Phenomena in Materials
PIRE/OXMOS Workshop, Oxford, September 26-28, 2011, Poster
- Equadiff 2011
Loughborough, August 1-5, 2011
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SIAM Conference on Mathematical Aspects of Materials Science
Philadelphia, May 23-26, 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 |