Fluids and waves : recent trends in applied analysis : research conference, May 11-13, 2006, the University of Memphis, Memphis, TN
著者
書誌事項
Fluids and waves : recent trends in applied analysis : research conference, May 11-13, 2006, the University of Memphis, Memphis, TN
（Contemporary mathematics, 440）
American Mathematical Society, c2007
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注記
Includes bibliographical references
内容説明・目次
内容説明
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 Waves--Recent 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 state-of-the-art 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.
目次
Vibrations of a damageable string by K. T. Andrews, S. Anderson, R. S. R. Menike, M. Shillor, R. Swaminathan, and J. Yuzwalk The coupled PDE system arising in fluid/structure interaction. Part I: Explicit semigroup generator and its spectral properties by G. Avalos and R. Triggiani Existence of the energy-level weak solutions for a nonlinear fluid-structure interaction model by V. Barbu, Z. Grujic, I. Lasiecka, and A. Tuffaha Gevrey regularity of solutions to the 3D Navier-Stokes equations by A. Biswas and D. Swanson Stimulus-induced bumps in two-dimensional neural field theory by P. C. Bressloff Wave problems in unbounded domains: Fredholmness and the finite section method by S. N. Chandler-Wilde and M. Lindner Exotic dynamics in a firing rate model of neural tissue with threshold accommodation by S. Coombes and M. R. Owen Embedded models of self-assembly of DNA complexes by M. H. Garzon, D. R. Blain, and M. West A parameter property of integrodifferential equations with memory by M. He Stochastic models with negative friction for intermittent rolling of biological mimetics by J. M. Lavine, E. C. Eckstein, and J. A. Goldstein Multi-parameter oscillatory connection functions in neural field models by J. A. H. Murdock Front speeds, cut-offs, and desingularization: A brief case study by N. Popovic Neural networks can learn to approximate autonomous flows by J. M. Rodriguez and M. H. Garzon Rogue waves, non-Gaussian statistics and proximity to homoclinic data by C. M. Schober Nonlinear stochastic wave equations in $\mathbb{R}^1$ with power-law nonlinearity and additive space-time noise by H. Schurz The method of Lyapunov functions of two variables by J. Tolosa Analysis of map formation in visual perception by J. Zhu.
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