WORKSHOP
"Multiscale Problems in Three Applications" 

Berlin, 29. May - 1. June 2007

organized and supported by: Weierstraß-Institut für Angewandte Analysis und Stochastik,
SPP 1095,
DFG Research Center MATHEON,
Humboldt University of Berlin

organizers:    W. Dreyer , WIAS
B. Niethammer , Humboldt-University
J. Sprekels , WIAS


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.

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 appear.

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.

Program

Registered Participants


All informations abot the Workshop you can find
here

LOCAL INFORMATION

The workshop takes place at WIAS, Mohrenstr. 39, 10117 Berlin, Germany.

Accommodation facilities are in a hotel of your choice.

See www.bvg.de for more information about public transport in Berlin (routes/tickets).

REGISTRATION

For registration and submission of contributed talks, please fill in the ONLINE REGISTRATION FORM until March 31, 2007.

CONTACT

For the further information, please contact Mrs. Heike Sill (sill@wias-berlin.de).