Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

This volume contains papers presented at an international conference on nuclear astrophysics, which brought together astronomers, astrophysicists and nuclear physicists for a discussion of nucleosynthesis, its role in the evolution of the universe and its possibilities as a diagnostic tool for stellar interiors. The contributions have been divided into the following sections: astronomical facts; nuclear physics; the early universe and galactic evolution; and stellar models and nucleosynthesis.

Nuclear astrophysics as it stands today is a fascinating science. Even though, compared to other scientific fields, it is a young discipline which has developed only in this century, it has answered many questions concerning the under standing of our cosmos. One of these great achievements was the concept of nucleosynthesis, the creation of the elements in the early universe in interstellar matter and in stars. Nuclear astrophysics has continued, to solve many riddles of the evolution of the myriads of stars in our cosmos. This review volume attempts to provide an overview of the current status of nuclear astrophysics. Special emphasis is given to the interdisciplinary nature of the field: astronomy, nuclear physics, astrophysics and particle physics are equally involved. One basic effort of nuclear astrophysics is the collection of ob servational facts with astronomical methods. Laboratory studies of the nuclear processes involved in various astrophysical scenarios have provided fundamen tal information serving both as input for and test of astrophysical models. The theoretical understanding of nuclear reaction mechanisms is necessary, for example, to extrapolate the experimentally determined reaction rates to the thermonuclear energy range, which is relevant for the nuclear processes in our cosmos. Astrophysical models and calculations allow us to simulate how nuclear processes contribute to driving the evolution of stars, interstellar matter and the whole universe. Finally, elementary particle physics also plays an important role in the field of nuclear astrophysics, for instance through weak interaction processes involving neutrinos."

Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.

Proceedings of the Conference on Control Theory for Distributed Parameter Systems, Held at the Chorherrenstift Vorau, Styria, July 11-17, 1982

Das vorliegende Buch ist als Leitfaden im eigentlichen Sinne des Wortes gedacht. Es ist so aufgebaut. dass es den Studierenden vom zweiten Studienjahr an bis in seine berufliche Tatigkeit hinein begleiten und ihm helfen kann, auf die wichtigsten Fragen nach dem Warum und Wieso bei gewohnlichen Differentialgleichungen eine Ant wort zu finden. Die Studierenden, an die sich dieses Buch wendet, sind dabei nicht nur Mathematiker, sondern auch Naturwissenschaftler und Ingenieure (hier vor allem Regelungstechniker) sowie Vertreter von Disziplinen, in denen mit dynamischen Modellen gearbeitet wird (wie Okonometer und Biologen). Durch die Bedurfnisse dieses potentiellen Leserkreises sowie durch die Zielsetzung wurde der Grund konzeption des Buches von vornherein eine Reihe von Bedingungen auferlegt. So ergab sich vor allem die Notwendigkeit, den in den letzten Jahren deutlich geworde nen Trend zur nicht-linearen Theorie und zur Orientierung an Kontrollproblemen gegenuber den traditionellen Lehrinhalten starker zu betonen. Bei der Auswahl der Themen musste es vermieden werden, sich allzusehr mit Allgemeinheiten aufzuhalten und im Vorfeld gerade jener Probleme stehenzubleiben, derentwillen man zumeist ein Buch uber Differentialgleichungen zur Hand nimmt. Der begriffiiche Aufwand sollte, so lautete eine weitere Forderung, in einem angemessenen Verhaltnis zu den konkreten Resultaten stehen und auf eine Vorbildung zugeschnitten sein, wie man sie etwa in den mathematischen Grundvorlesungen des ersten Studienjahres (Ana lysis I und II, Lineare Algebra) erwirbt."