Berlin, 29. May - 1. June 2007
"Multiscale Problems in Three Applications"
Within the focus of the workshop are three categories of multiscale
problems with simultaneous scalings of time, space and further
quantities that are characteristic for the case at hand.
Discrete lattice models serve as prototypes to study
various possible limiting cases where a discrete ODE system can be
substituted by a single or at least a few PDEs that describe the
discrete dynamics on a continuum level.
- Discrete lattice models and their continuum limits
- Discrete and continuum descriptions of nucleation and subsequent
- Sharp interface limits of phase field systems
During the first stages of a phase transition small clusters of the
new phase with α particles may grow or shrink by adding or subtracting
a single particle. The evolution of the number of clusters is
described by an ODE system of Becker-Döring type, which, however,
should be substituted by a PDE if clusters above a certain size
Phase field systems resolve the interfacial region so that their
evolution may be described by smooth fields. On the scale of
microscopic observations the interfacial region mostly appears as a
singular surface, where the observable fields change discontinuously.
Thus the physical relevance of phase field systems is tested by their
sharp interface limits.
The workshop is partly funded by the DFG via SPP1095: Modeling,
Analysis and Simulations of Multiscale Problems, by the DFG research
center Matheon: Mathematics for Key Technologies and by WIAS.
- T. Böhme, Berlin, D
- W. Dreyer, Berlin, D
- C. Guhlke, Berlin, D
- M. Hantke, Magdeburg, D
- O. Kastner, Bochum, D
- C. Kraus, Berlin, D
- A. Mielke, Berlin, D
- A. Miranville, Poitiers, F
- B. Niethammer, Berlin, D
- C. Patz, Berlin, D
- R. Rere, Berlin, D
- M. Röger, Leipzig, D
- C. Rohde, Stuttgart, D
- P. Rosenau, Tel-Aviv, IL
- J. Sprekels, Berlin, D
- B. Stinner, Falmer, GB
- A. Vainstein, Pittsburgh, USA
- J. Velazquez, Leipzig, D
- J. Wattis, Nottingham, GB
All informations abot the Workshop you can find here
The workshop takes place at
WIAS, Mohrenstr. 39, 10117 Berlin, Germany.
Accommodation facilities are
in a hotel of your choice.
for more information about public transport in Berlin (routes/tickets).
For registration and submission of contributed talks,
please fill in the ONLINE
until March 31, 2007.
For the further information, please contact Mrs. Heike Sill (email@example.com).