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OverviewThis book is devoted to the study of evolution of nonequilibrium systems. Such a system usually consists of regions with different dominant scales, which coexist in the space-time where the system lives. In the case of high nonuniformity in special direction, one can see patterns separated by clearly distinguishable boundaries or interfaces. The author considers several examples of nonequilibrium systems. One of the examples describes the invasion of the solid phase into the liquid phase during the crystallization process. Another example is the transition from oxidized to reduced states in certain chemical reactions. An easily understandable example of the transition in the temporal direction is a sound beat, and the author describes typical patterns associated with this phenomenon. The main goal of the book is to present a mathematical approach to the study of highly nonuniform systems and to illustrate it with examples from physics and chemistry. The two main theories discussed are the theory of singular perturbations and the theory of dissipative systems. A set of carefully selected examples of physical and chemical systems nicely illustrates the general methods described in the book. Full Product DetailsAuthor: Yasumasa NishiuraPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 209 Weight: 0.397kg ISBN: 9780821826256ISBN 10: 0821826255 Pages: 336 Publication Date: 30 May 2002 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsSeparation and unification of scales Amplitude equations Marginal stability criterion and pattern selection Pattern formation Method of singular limit analysis Transient dynamics Future perspectives Bibliography Index.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |