Alfredo Macias

Developments in Mathematical and Experimental Physics: Hydrodynamics and Dynamical Systems (Hydrodynamics and Dynamical Systems) Alfredo Macias

Marc Notes: Proceedings of the First Mexican Meeting on Mathematical and Experimental Physics, held September 10-14, 2001, in Mexico City, Mexico--T.p. verso. Table of Contents: Part I: Hydrodynamics. Some Thoughts About Hydrodynamics; L. S. Garcia-Colin. Geometry of Irreversibility; A. N. Gorban, I. V. Karlin. Invariance Principle to Decide Between Micro and Macro Computations; I. V. Karlin, et al. Hydrodynamics, Grad's Moments Method and the Structure of Shock Waves; F. J. Uribe, et al. The Oseen's Spiral Flow; E. Pina, S. M. R. de la Selva. Part II: Dynamical Systems. Singularities and Chaos in Classical and Celestial Mechanics; E. A. Lacomba. Regularization of Binary Collisions for Quasihomogeneous Potentials; H. Cabral, et al. Symmetric periodic orbits for the collinear 3-body problem via the continuation method; M. Corbera, J. Llibre. Averaging in Hamiltonian Systems with Slowly Varying Parameters; T. Sari. Orthogonal Functions Exact Invariant and the Adiabatic Limit for Time Dependent Harmonic Oscillators; M. Fernandez Guasti, A. Gil-Villegas. Part III: Other Topics. Microquasars: Recent Developments; L. F. Rodriguez, I. Felix Mirabel. We and the Quantum World; N. G. van Kampen. Violate Superluminal Signals Causality? G. Nimtz. DNA Evolution as a Dynamical System: a Physicalist Perspective; P. Miramontes. Leopolda Garcia-Colin Scherer: Brief biography; E. Pina. Prof. Nicolas G. van Kampen: Brief Biography; R. Rodriguez. Index."Publisher Marketing: This volume is divided into three parts and includes results, reviews, and developments of some special topics on hydrodynamics, dynamical systems, astrophysics, quantum mechanics, relativity, and DNA evolution. The first part deals with hydrodynamics including historical aspects, applications of recent theories to extend the Navier-Stokes regime, and new results on known methods for going beyond the Navier-Stokes equations. The second part is devoted to dynamical systems including new results on the problem of regularization of collisions and the Poincare continuation method. The second part also contains reviews of several aspects of the theory of dynamical dystems. The third part deals with microquasars and astrophysics, fundamental aspects of quantum mechanics, superluminal propagation, and DNA evolution.