This book constitutes the first effort to summarize a large volume of results obtained over the past 20 years in the context of the Discrete Nonlinear Schrödinger equation and the physical settings that it describes. It contains an introduction to the model, its systematic derivation and its connection to applications, a subsequent analysis of the existence and the stability of fundamental nonlinear structures in 1, 2 and even 3 spatial lattice dimensions.
Ecological engineering involves the design, construction and management of ecosystems that have value to both humans and the environment. It is a rapidly developing discipline that provides a promising technology to solve environmental problems. Ecological Engineering covers the basic theory of ecological engineering as well as the application of these principles in environmental management.
Maximum Principles On Riemannian Manifolds And Applications
The aim of this paper is to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity recently obtained by the authors. Applications are given to a number of geometrical problems in the setting of complete Riemannian manifolds, under assumptions either on the curvature or on the volume growth of geodesic balls.
Introduction to the Basic Concepts of Modern Physics
These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools. A number of examples of relevant applications and an appropriate list of exercises and answered questions are also given.
This book contains everything engineers and designers need to make sound technical judgments about which stainless steels to use and how to use them. Extensive composition and property information on all five families of stainless steel, including newest alloys is included. Coverage addresses selection for corrosion resistance, processing, and major applications, FREE access to Thermo-Calc software for 3 element phase diagram simulation.