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The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics.

Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.

What intrigued me about this diary was that "The Exorcist" was by far the scariest horror movies of all time based on true events. The actual case involved a boy not a girl as portrayed in the movie. We went to St. Louis to find out the truth and uncover the real diary and we did just that. Documented by 14 priests this diary chronicles the horrific story of "The Exorcist" and a boy possessed by the devil. For the first time read the unedited diary of the boy's possession and exorcism. Learn the facts and truth about one of the most darkest supernatural cases known to man.

The oldest monastic Rule in the West

A giant of the faith, St. Augustine is well known as "the restless searcher for truth." His life and the Rule he formulated have had enduring influence on the Christian ideal of the religious life. This is a new, modern English translation of the Rule from the original critical Latin text. An extensive Commentary elucidates its meaning and its relevance to those who follow or study it today.

Augustine's concise spiritual directions, based heavily on the Scriptures, cover such subjects as prayer, love and community, mutual responsibility,...

In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book explains the origin of the theory.

This paper is concerned with a complete asymptotic analysis as $E o 0$ of the Munk equation $partial _xpsi -E Delta ^2 psi = au $ in a domain $Omega subset mathbf R^2$, supplemented with boundary conditions for $psi $ and $partial _n psi $. This equation is a simple model for the circulation of currents in closed basins, the variables $x$ and $y$ being respectively the longitude and the latitude. A crude analysis shows that as $E o 0$, the weak limit of $psi $ satisfies the so-called Sverdrup transport equation inside the domain, namely $partial _x psi ^0= au $, while boundary layers...