Vergangene Projekte - Past Projects

Laufende Projekte - Current Projects

Projekte mit der Industrie - Industrial Projects

ESF OPTPDE Workshop on "Modeling and Control of Large Interacting Dynamical Systems"

Kurzbeschreibung - Abstract

This Workshop aims at fostering investigation and application of networks of dynamical systems and their mean-field continuous limits. In particular, mean-field problems, crowd motion, transportation, and the dynamics of stochastic systems and related Fokker-Planck equations, are among the main topics of this workshop. These are emerging research topics in applied mathematics that pose new challenges in the theory of finite- and infinite-dimensional dynamical systems and in the formulation of fast (possibly real-time) simulation and control algorithms.


Organisation - Organizers: Prof. Dr. Alfio Borzì, Dr. Julien Salomon

Datum: - date: 10.-12.09.2013
Förderinstitution: - Funding institution: ESF ( European Science Foundation)
Genehmigungssumme - Funding amount: 24.000,00 €
Genehmigungsdatum - Granting date: 12.2012
Förderkennzeichen - Funding number: 4540

Shape and Material Optimization of mechanical and optical systems

Kurzbeschreibung - Abstract

The Projekt "Shape and Material Optimization of mechanical and optical systems" will investigate new methods of shape and material optimization and applied to mechanical and optical systems. Optimization problems will be observed in detail where eigenfunctions and eigenvalues of these systems should be designed by the shape and material distribution that certain mechanical and/or optical characteristics will be optimized. In mechanical systems Eigenfunctions indeed describe deformations of solid objects (e.g. plates) by vibrations. The frequency of these vibrations will be calculated by the Eigenvalues. The possibility to influence the shape of the Eigenfunctions will offer the possibility to design these systems in a way to make them more resistant under vibrations. Eigenvalues and Eigenvalues define in optical systems under which frequency spectrum and with whih optical characteristics these systems work. The modelling of optical Eigenfunctions for example means to optimize the depth of field.

Projektleiter - Project Manager: Prof. Dr. Alfio Borzì

Beteiligte Wissenschaftlerinnen und Wissenschaftler - Participating scientists: Dr. Marco Verani

Laufzeit: - Projekt period: 12.2012 - 12.2013

Förderinstitution: - Funding institution: Bayerische Forschungsallianz (BayFOR)
Genehmigungssumme - Funding amount: 4.500,00 €
Genehmigungsdatum - Granting date: 18.01.2013
Förderkennzeichen - Funding number: BayIntAn_Uni_Würzburg_2014_38

Optimal Control of Stochastic and Crowd Models

Kurzbeschreibung - Abstract

The control of stochastic processes and crowd models is a very active research field because of many real-world applications in technology, social sciences, and finance. The purpose is to control the probability density function (PDF) of these models that completely characterizes the shape of the statistical distribution of the dynamics. For this purpose, a new control framework based on the Fokker-Planck equation is proposed that governs the evolution of the PDF. Within this framework, it will be possible to design robust controllers in a deterministic way that outperforms many state-of-the art methodologies. In this project, we focus on numerical simulation and optimization schemes to implement our Fokker-Planck strategy and investigate different models and objectives, including mass transport problems and quantum control problems.

Projektleiter - Project Manager: Prof. Dr. Alfio Borzì

Beteiligte Wissenschaftlerinnen und Wissenschaftler - Participating scientists: Dr. Julien Salomon

Laufzeit: - Projekt period: 10.2012 - 12.2013
Förderinstitution: - Funding institution: Bayerisch-Französisches Hochschulzentrum (BFHZ)
Genehmigungssumme - Funding amount: 4.500,00 €
Genehmigungsdatum - Granting date: 29.09.2012
Förderkennzeichen - Funding number: FK10-12