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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."
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