Shape Optimization, Homogenization and Optimal Control: DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017

Description

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences. Front Matter ....Pages i-viii Homogenization in Magnetic-Shape-Memory Polymer Composites (Sergio Conti, Martin Lenz, Matthäus Pawelczyk, Martin Rumpf)....Pages 1-17 Homogenization of Stochastic Parabolic Equations in Varying Domains (Mogtaba A. Y. Mohammed, Mamadou Sango)....Pages 19-40 Two-Scale Convergence: Obviousness of the Choice of Test Functions? Not Always (Hubert Nnang)....Pages 41-55 Corrector Problem and Homogenization of Nonlinear Elliptic Monotone PDE (Jean Louis Woukeng)....Pages 57-73 Instantaneous Optimal Control of Friction Dominated Flow in a Gas-Network (Günter Leugering, Gisèle Mophou)....Pages 75-88 Multilevel Iterations for the Combined Moving Horizon Estimation and Nonlinear Model Predictive Control for PDE Models (Ekaterina Kostina, Gregor Kriwet)....Pages 89-112 Some Recent Developments in Optimal Control of Multiphase Flows (Michael Hintermüller, Tobias Keil)....Pages 113-142 Localized Model Reduction in PDE Constrained Optimization (Mario Ohlberger, Michael Schaefer, Felix Schindler)....Pages 143-163 Numerical Simulation for a Dimensionless Coupled System of Shallow Water Equation with Long Term Dynamic of Sand Dunes Equation (Mouhamadou A. M. T. Baldé, Diaraf Seck)....Pages 165-190 Coupling the Navier-Stokes Equations with a Short Term Dynamic of Sand Dunes (Ibrahima Faye, Mariama Ndiaye, Diaraf Seck)....Pages 191-211 Branching Structures in Elastic Shape Optimization (Nora Lüthen, Martin Rumpf, Sascha Tölkes, Orestis Vantzos)....Pages 213-225 Shape and Topological Derivatives via One Sided Differentiation of the Minimax of Lagrangian Functionals (Michel C. Delfour)....Pages 227-257 On Optimization Transfer Operators in Shape Spaces (Volker H. Schulz, Kathrin Welker)....Pages 259-275