Perspectives and Problems in Nonlinear Science

This volume surveys a broad range of topics in applied mathematics, ranging from kinetic theory of gases and theoretical fluid mechanics to the biophysics of vision. Each article is written by a leading international researcher in the area. The volume should be useful for graduate students and researchers in applied mathematics.

Includes supplementary material: sn.pub/extras

Klappentext
Lawrence Sirovich will turn seventy on March 1, 2003. Larry's academic life of over 45 years at the Courant Institute, Brown University, Rockefeller University and the Mount Sinai School of Medicine has touched many peo ple and several disciplines, from fluid dynamics to brain theory. His con tributions to the kinetic theory of gases, methods of applied mathematics, theoretical fluid dynamics, hydrodynamic turbulence, the biophysics of vi sion and the dynamics of neuronal populations, represent the creative work of an outstanding scholar who was stimulated mostly by insatiable curios ity. As a scientist, Larry has consistently offered fresh outlooks on classical and difficult subjects, and moved into new fields effortlessly. He delights in what he knows and does, and sets no artificial boundaries to the range of his inquiry. Among the more than fifty or so Ph. D. students and post docs that he has mentored, many continue to make first-rate contributions themselves and hold academic positions in the US and elsewhere. Larry's scientific collaborators are numerous and distinguished. Those of us who have known him well will agree that Larry's charm, above all, is his taste, wit, and grace under fire. Larry has contributed immensely to mathematics publishing. He be gan his career with Springer by founding the Applied Mathematical Sci ences series together with Fritz John and Joe LaSalle some 30 years ago. Later he co-founded the Texts in Applied Mathematics series and more re cently the Interdisciplinary Applied Mathematics series.

Inhalt
1 Reading Neural Encodings using Phase Space Methods.- 2 Boolean Dynamics with Random Couplings.- 3 Oscillatory Binary Fluid Convection in Finite Containers.- 4 Solid Flame Waves.- 5 Globally Coupled Oscillator Networks.- 6 Recent Results in the Kinetic Theory of Granular Materials.- 7 Variational Multisymplectic Formulations of Nonsmooth Continuum Mechanics.- 8 Geometric Analysis for the Characterization of Nonstationary Time Series.- 9 High Conductance Dynamics of the Primary Visual Cortex.- 10 Power Law Asymptotics for Nonlinear Eigenvalue Problems.- 11 A KdV Model for Multi-Modal Internal Wave Propagation in Confined Basins.- 12 A Memory Model for Seasonal Variations of Temperature in Mid-Latitudes.- 13 Simultaneously Band and Space Limited Functions in Two Dimensions and Receptive Fields of Visual Neurons.- 14 Pseudochaos.

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