The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science. Contents: Preface Sobolev Space and Preliminaries The Vanishing Viscosity Method of Some Nonlinear Evolution System The Vanishing Viscosity Method of Quasilinear Hyperbolic System Physical Viscosity and Viscosity of Difference Scheme Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme Electric-Magnetohydrodynamic Equations References

This book focuses exclusively on child bilinguals or children exposed to a second language in various learning contexts. Through the presentation of research on how children learn the sound systems or lexicon in two languages and via different routes, the book aims to paint a comprehensive picture of child bilingualism and second language learning. In addition, the book features contributions focused on theoretical overviews and methodological approaches. Researchers from diverse disciplines such as linguistics, psychology, and speech-language pathology contributed to the book that thus represents an effort to integrate multiple views and perspectives. The book is useful for researchers, clinicians, and educators who work with children acquiring or learning a second language in different settings. It should also be of interest to university students studying bilingualism and/or second language acquisition or parents raising bilingual children.