This overview of some of the main results and recent developments in nonlinear water waves presents fundamental aspects of the field and discusses several important topics of current research interest. It contains selected information about water-wave motion for which advanced mathematical study can be pursued, enabling readers to derive conclusions that explain observed phenomena to the greatest extent possible. The author discusses the underlying physical factors of such waves and explores the physical relevance of the mathematical results that are presented. The book is intended for mathematicians, physicists and engineers interested in the interplay between physical concepts and insights and the mathematical ideas and methods that are relevant to specific water-wave phenomena. The material is an expanded version of the author's lectures delivered at the NSF-CBMS Regional Research Conference in the Mathematical Sciences organized by the Mathematics Department of the University of Texas-Pan American in 2010.

Author: Adrian Constantin
Binding Type: Paperback
Publisher: Society for Industrial and Applied Mathematic
Published: 12/01/2011
Series: Cbms-Nsf Regional Conference Series in Applied Mathematics
Pages: 336
Weight: 1.2lbs
Size: 9.80h x 6.80w x 0.80d
ISBN: 9781611971866

About the Author
Constantin, Adrian: - Adrian Constantin is Professor of Mathematics at the University of Vienna and holds the Chair in Analysis at King's College London. His research interests include partial differential equations and dynamical systems, and he has made several significant contributions to the rigorous theory of water waves. His numerous awards include prizes from the Scuola Normale Superiore di Pisa in Italy, the Royal Swedish Academy of Sciences, the Humboldt Foundation in Germany and the Japan Society of Fluid Mechanics.