This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat prob- lems which are directly connected to practical applications. So this volume...

The theory of complex Ginzburg-Landau type phase transition and its applica tions to superconductivity and superfluidity has been a topic of great interest to theoretical physicists and has been continuously and persistently studied since the 1950s. Today, there is an abundance of mathematical results spread over numer ous scientific journals. However, before 1992, most of the studies concentrated on formal asymptotics or linear analysis. Only isolated results by Berger, Jaffe and Taubes and some of their colleagues touched the nonlinear aspects in great detail. In 1991, a physics seminar...

The 4th caesarium brought together world known experts reporting the state-of-the-art of Functional Micro-and Nanosystems. Its purpose was to identify and open up new research directions in this rapidly evolving new area and to discuss the potential with respect to applications in automotive, biochemical and information technology. Thin film technologies are an attractive approach to incorporate functional properties into micro- or nano-systems. The continuing development towards smaller structures is driven by the use of higher driving frequencies and thus smaller wavelengths, the growing...

This monograph contains a collection of 16 papers that were presented at the confer- ence "Free Boundary Problems: Numerical 7reatment and Optimal Control," held at the Mathematisches Forschungsinstitut Oberwolfach, West Germany, July 9-15, 1989. It was the aim of the organizers of the meeting to bring together experts from different areas in the broad field of free boundary problems, where a certain emphasis was given to the numerical treatment and optimal control of free boundary problems. However, during the conference also a number papers leading to important new theoretical insights were...

Interest in the area of control of systems defined by partial differential Equations has increased strongly in recent years. A major reason has been the requirement of these systems for sensible continuum mechanical modelling and optimization or control techniques which account for typical physical phenomena. Particular examples of problems on which substantial progress has been made are the control and stabilization of mechatronic structures, the control of growth of thin films and crystals, the control of Laser and semi-conductor devices, and shape optimization problems for turbomachine...

This monograph compiles, rearranges, and refines recent research results in the complex G-L theory with or without immediate applications to the theory of superconductivity. An authoritative reference for applied mathematicians, theoretical physicists and engineers interested in the quantitative description of superconductivity using Ginzburg-Landau theory.

Der vorliegende Band vermittelt einen aktuellen Einblick in funfzig Verbundprojekte zwischen Hochschulinstituten und Industrieunternehmen, die gefordert werden durch das Bundesministrium fur Bildung, Wissenschaft, Forschung und Technologie. Die vorliegenden Artikel entstanden auf der Grundlage von Vortragen, die anlasslich des BMBF-Statusseminars im Oktober 1995 in Munchen gehalten wurden. Sie beschreiben sowohl die grundlegenden mathematischen Fortschritte, als auch die Ansatze zur Losung konkreter Anwenderprobleme. Deren Spektrum reicht von der Bildverarbeitung uber chemische Reaktionen,...