The book presents a theory of latticed shells constructed on the basis of a continual model and describes its applications. It analyzes the problems of statics, stability, dynamics. A special emphasis is laid on the study of linear problems. However, in some instances the geometrical and physical nonlinearity are also considered. The problems of optimum designing in terms of material consumption is given considerable attention. Some of the findings are generalized and extended to the edged and composite systems. In dealing with specific boundary value problems the author applies, among other...

The subject of this book is time. The three global problems of natural science - those of the origin of the universe, life and consciousness - cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.

This text describes the family of non-traditional difference schemes which combine the ideas of Pade-type approximation and upwind differencing. It presents the theory of the schemes and provides algorithms for different computational fluid dynamics problems.

Until recently, the Mori-Zwanzig projection operator method, though powerful and simple, has been considered as a half-heuristic one. This book is concerned to a rigorous generalization of this method, as well as its applications to nonequilibrium statistical mechanics. The well-known idea of the description of dynamical system evolution in terms of collective dynamical variables has been developed to a functional perturbation theory, which results in the master equation of any given accuracy. Examples of statistical mechanics applications of the method include a linearized transport theory...

The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones. The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book should satisfy the growing interest in the problems...

World Scientific Series in Applicable Analysis (WSSIAA) reports new developments of a high mathematical standard and of current interest. Each volume in the series is devoted to mathematical analysis that has been applied, or is potentially applicable to the solution of scientific, engineering, and social problems. This third volume of WSSIAA contains 47 research articles on inequalities by mathematicians from all over the world. It also presents a tribute by R.M. Redheffer to Wolfgang Walter to whom this volume is dedicated - on his 66th birthday.

This book recounts the connections between multidimensional hypergeometric functions and representation theory. In 1984, physicists Knizhnik and Zamolodchikov discovered a fundamental differential equation describing correlation functions in conformal field theory. The equation is defined in terms of a Lie algebra. Kohno and Drinfeld found that the monodromy of the differential equation is described in terms of the quantum group associated with the Lie algebra. It turns out that this phenomenon is the tip of the iceberg. The Knizhnik-Zamolodchikov differential equation is solved in...

This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

In the past, infrared imaging has been used exclusively for military applications. In fact, it can also be used in a wide range of scientific and commercial applications. However, its widespread use was impeded by the scarcity of the imaging systems and its high cost. There is now an emerging infrared technology based on quantum well intersubband transition in III-V compound semiconductors. With the new technology, these impedances can be eliminated and a new era of infrared imaging is in sight. This book is designed to give a systematic description on the underlying physics of the new...