Description
Book SynopsisSpontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.
Trade ReviewFrom the reviews:
"This book presents thorough descriptions of analytical methods divulging the complex evolution of nonlinear dissipative systems, and introduces the reader to the forefront of current research. … This book addresses graduate students and non-specialists from the many related areas of applied mathematics, physical chemistry, chemical engineering and biology, as well as the seasoned scientist in search of a modern source of reference." (Ömer Kavaklioglu, Zentralblatt MATH, Vol. 1098 (24), 2006)
"This substantial monograph summarizes a broad selection of results concerning the dynamics of model nonlinear dissipative partial differential equations. … The layout and figures are generally very clear and the material is well-organised. … Overall I recommend this book as a very useful reference and guide to the literature. It will undoubtedly be of use to those working in very different areas of nonlinear science." (Jonathan Dawes, Fluid Mechanics, Vol. 584, 2007)
"The book begins with a brief overview of dynamical systems theory, which is helpful for understanding the bulk of the book. … In summary, this book is a clear and comprehensive review of this interesting area of pattern formation, and usefully complements existing texts. It is particularly useful as a reference to the development of the theory of stability of fronts and defects." (Alastair M. Rucklidge, Mathematical Reviews, Issue 2008 f)
Table of ContentsDynamics, Stability and Bifurcations.- Fronts and Interfaces.- Systems with Separated Scales.- Amplitude Equations for Patterns.- Amplitude Equations for Waves.
