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Semigroups of Operators -Theory and Applications
Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginnin...
The Romanians and the Turkic Nomads North of the Danube Delta from the Tenth to the Mid-Thirteenth Century
The author of the present volume aims to investigate the relationships between Romanians and nomadic Turkic groups (Pechenegs, Uzes, Cumans) in the southern half of Moldavia, north of the Danube Delta, between the tenth century and the great Mongol invasion of 1241-1242. The Carpathian-Danubian area particularly favoured the development of sedentary life, throughout the millennia, but, at various times, nomadic pastoralists of the steppes also found this area favourable to their own way of life. Due to the basic features of its landscape, the above-mentioned area, which includes a vast plain, became the main political stage of the Romanian ethnic space, a stage on which local communities had to cope with the pressures of successive intrusions of nomadic Turks, attracted by the rich pastures north of the Lower Danube. Contacts of the Romanians and of the Turkic nomads with Byzantium, Kievan Rus, Bulgaria and Hungary are also investigated. The conclusions of the volume are based on an analysis of both written sources (narrative, diplomatic, cartographic) and archaeological finds.
Infinite Dimensional Optimization and Control Theory
Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
Stochastic Analysis: A Series of Lectures
This book presents in thirteen refereed survey articles an overview of modern activity in stochastic analysis, written by leading international experts. The topics addressed include stochastic fluid dynamics and regularization by noise of deterministic dynamical systems; stochastic partial differential equations driven by Gaussian or Lévy noise, including the relationship between parabolic equations and particle systems, and wave equations in a geometric framework; Malliavin calculus and applications to stochastic numerics; stochastic integration in Banach spaces; porous media-type equations; stochastic deformations of classical mechanics and Feynman integrals and stochastic differential eq...
Control of Turbulent and Magnetohydrodynamic Channel Flows
This monograph presents new constructive design methods for boundary stabilization and boundary estimation for several classes of benchmark problems in flow control, with potential applications to turbulence control, weather forecasting, and plasma control. One of the main features of the book is a unique "backstepping" approach to parabolic partial differential equations, which yields not only the stabilization of the flow, but also the explicit solvability of the closed-loop system. The work is an excellent reference for a broad, interdisciplinary engineering and mathematics audience: control theorists, fluid mechanicists, mechanical engineers, aerospace engineers, chemical engineers, electrical engineers, applied mathematicians, as well as research and graduate students in these fields.
Semigroups of Operators: Theory and Applications
These Proceedings comprise the bulk of the papers presented at the Inter national Conference on Semigroups of Opemtors: Theory and Contro~ held 14-18 December 1998, Newport Beach, California, U.S.A. The intent of the Conference was to highlight recent advances in the the ory of Semigroups of Operators which provides the abstract framework for the time-domain solutions of time-invariant boundary-value/initial-value problems of partial differential equations. There is of course a firewall between the ab stract theory and the applications and one of the Conference aims was to bring together both in the hope that it may be of value to both communities. In these days when all scientific activity is judged by its value on "dot com" it is not surprising that mathematical analysis that holds no promise of an immediate commercial product-line, or even a software tool-box, is not high in research priority. We are particularly pleased therefore that the National Science Foundation provided generous financial support without which this Conference would have been impossible to organize. Our special thanks to Dr. Kishan Baheti, Program Manager.
Fluids Under Control
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Differential Equations And Control Theory
Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equations over non-Archimedean fields in relation to Markov processes.
