Asymptotic methods in nonlinear wave phenomena: in honor of the 65th birthday of Antonio Greco, Palermo, Italy, 5-7 June 2006

This book brings together several contributions from leading experts in the field of nonlinear wave propagation.

This field, which during the last three decades has seen important breakthroughs from the theoretical point of view, has recently acquired increased relevance due to advances in the technology of fluids e.g. at microscale or nanoscale and the recognition of crucial applications to the understanding of biological phenomena.Nonlinear wave theory requires the use of disparate approaches, including formal and rigorous asymptotic methods, Lie group theory, energy methods, numerical analysis, and bifurcation theory.

This book presents a unique blend in which different aspects of the theory are enlightened and several real-life applications are investigated.

The book will be a valuable resource for applied scientists interested in some of the most recent advances in the theory and in the applications of wave propagation, shock formation, nonequilibrium thermodynamics and energy methods.Sample Chapter(s)Chapter 1: The Semiconductor Steady Boltzmann Equation: A Variational Formulation with an Application to Mobility (389 KB)Contents:The Semiconductor Steady Boltzmann Equation: A Variational Formulation with an Application to Mobility (A M Anile et al.)Isocline Curves and Variational Scalar Field (G Boillat & A Muracchini)Exact Solutions of a Reaction Diffusion Equation (M Carini & N Manganaro)A Model for the Evolution of Bioenergy in an Environmental System (G Lauro et al.)Lie Remarkable PDEs (G Manno et al.)On Two-Pulse and Shock Evolution in a Class of Ideally Hard Elastic Materials (A Mentrelli et al.)The Characteristic Problem for the Einstein Vacuum Equations (F Nicolò)Mixture of Gases with Multi-Temperature: Maxwellian Iteration (T Ruggeri & S Simić)and other papersReadership: Graduate students and researchers in mathematics, physics and engineering as well as applied scientists.

Researchers in biomathematics and astrophysics.