Non Divergence Equations Structured On H Rmander Vector Fields

"March 2010, Volume 204, number 961 (end of volume)."

Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.

"In the worldwide circulation of the products of cultural industries, an important role is played by Japanese popular culture in European contexts. Marco Pellitteri shows that the contact between Japanese pop culture and European youth publics occurred during two phases. By use of metaphor, the author calls them the Dragon and the Dazzle. The first took place between 1975 and 1995, the second from 1996 to today. They can be distinguished by the modalities of circulation and consumption/re-elaboration of Japanese themes and products in the most receptive countries: Italy, France, Spain, Germany and, across the ocean, the United States. During these two phases, several themes have been perceived, in Europe, as rising from Japan's social and mediatic systems. Among them, this book examines the most apparent from a European point of view: the author names them machine, infant, and mutation, visible mostly through manga, anime, videogames, and toys. Together with France, Italy is the European country that in this respect has had the most central role. There, Japanese imagination has been acknowledged not only by young people, but also by politicians, television programmers, the general public, educators, comics and cartoons authors. The growing influence of Japanese pop culture, connected to the appreciation of its manga, anime, toys, and videogames, also urges political and mediologic questions linked to the identity/ies of Japan as they are understood--wrongly or rightly--in Europe and the West, and to the increasingly important role of Japan in international relations."--Back cover

This textbook, based on lectures given over a period of years at Cambridge, is a detailed and thorough introduction to Galois theory.

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.

This book surveys key algorithm developments between 1990 and 2012, with brief descriptions, a unified pseudocode for each algorithm and downloadable program code. Provides a taxonomy to clarify similarities and differences as well as historical relationships.