September 23-27, 2019

Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Marco Bonacini (Trento), Sebastian Schwarzacher (Bonn), Juan J.L. Velázquez (Bonn)

Description:

The modern analysis of evolutionary Partial Differential Equations that are motivated by applications to materials science has seen the development of several different approaches and techniques. Among these, a paramount position is occupied by the analysis of rate-independent systems, fluid structure interactions, and gradient flows. The successful analysis on the respective PDEs inherits different challenges, where recent progress has been made and new questions have risen. The school intends to allow a comparison and an interchange of ideas, on how to analyze the different hyperbolic, parabolic or quasi-static phenomena.

By bringing together some of the leading experts in these subjects, this Hausdorff School aims at giving an overview of several PDE approaches to the analysis of evolutionary problems, in light of the recent advances. It is mainly directed at introducing graduate students and postdocs to these topics and to new directions at the intersection of materials sciences and the analysis of Partial Differential Equations

Lecture Series by:

• Céline Grandmont (Inria, Paris): Modeling and Analysis of some Fluid-Structure Interaction Problems
• Josef Málek (Charles University, Prague): PDE large data analysis for unsteady flows of non-Newtonian fluids 
• Alexander Mielke (WIAS Berlin): Variational methods in time-dependent material models with finite-strain deformations
• Mark Peletier (TU Eindhoven): Gradient systems  and evolutionary Gamma convergence

Additionally to the lecture courses, some selected participants will have the opportunity to give a short presentation of their research.

Click here for the schedule.

Click here for slides of Celint Grandmont.

Click here for slides of Josef Málek.