Contemporary Mathematics 2007; 287 pp; softcover Volume: 440 ISBN10: 0821842471 ISBN13: 9780821842478 List Price: US$81 Member Price: US$64.80 Order Code: CONM/440
 This volume contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. The collection is based on lectures presented at the conference "Fluids and WavesRecent Trends in Applied Analysis" and features a rich spectrum of mathematical techniques in analysis and applications to engineering, neuroscience, physics, and biology. The mathematical topics discussed range from partial differential equations, dynamical systems and stochastic processes, to areas of classical analysis. This volume is intended as an introduction to major topics of interest and stateoftheart analytical research in wave motion and fluid flows. It is helpful to junior mathematicians to stay abreast of new techniques and recent trends in these areas of mathematics. The articles here also provide a unique scientific basis for recent results and new links between current research themes. In summary, this book is a guide for experts in one field to the issues of the other, and will challenge graduate students to investigate these areas of analysis in further detail. Readership Graduate students and research mathematicians interested in mathematical aspects of fluid dynamics. Table of Contents  K. T. Andrews, S. Anderson, R. S. R. Menike, M. Shillor, R. Swaminathan, and J. Yuzwalk  Vibrations of a damageable string
 G. Avalos and R. Triggiani  The coupled PDE system arising in fluid/structure interaction. Part I: Explicit semigroup generator and its spectral properties
 V. Barbu, Z. Grujić, I. Lasiecka, and A. Tuffaha  Existence of the energylevel weak solutions for a nonlinear fluidstructure interaction model
 A. Biswas and D. Swanson  Gevrey regularity of solutions to the 3D NavierStokes equations
 P. C. Bressloff  Stimulusinduced bumps in twodimensional neural field theory
 S. N. ChandlerWilde and M. Lindner  Wave problems in unbounded domains: Fredholmness and the finite section method
 S. Coombes and M. R. Owen  Exotic dynamics in a firing rate model of neural tissue with threshold accommodation
 M. H. Garzon, D. R. Blain, and M. West  Embedded models of selfassembly of DNA complexes
 M. He  A parameter property of integrodifferential equations with memory
 J. M. Lavine, E. C. Eckstein, and J. A. Goldstein  Stochastic models with negative friction for intermittent rolling of biological mimetics
 J. A. H. Murdock  Multiparameter oscillatory connection functions in neural field models
 N. Popović  Front speeds, cutoffs, and desingularization: A brief case study
 J. M. Rodriguez and M. H. Garzon  Neural networks can learn to approximate autonomous flows
 C. M. Schober  Rogue waves, nonGaussian statistics and proximity to homoclinic data
 H. Schurz  Nonlinear stochastic wave equations in \(\mathbb{R}^1\) with powerlaw nonlinearity and additive spacetime noise
 J. Tolosa  The method of Lyapunov functions of two variables
 J. Zhu  Analysis of map formation in visual perception
