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The General Theory of Homogenization
Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science, new mathematical tools must be introduced, like the author’s H-measures, variants by Patrick Gérard, and others yet to be discovered.
From Hyperbolic Systems to Kinetic Theory
This fascinating book, penned by Luc Tartar of America’s Carnegie Mellon University, starts from the premise that equations of state are not always effective in continuum mechanics. Tartar relies on H-measures, a tool created for homogenization, to explain some of the weaknesses in the theory. These include looking at the subject from the point of view of quantum mechanics. Here, there are no "particles", so the Boltzmann equation and the second principle, can’t apply.
Halte au changement climatique !
Comment notre consommation massive de pétrole et de charbon a-t-elle produit un effet de serre ? Qu’en sera-t-il demain lorsque les Chinois et les Indiens consommeront autant d’énergie que les Occidentaux ? N’est-il pas déjà trop tard pour inverser la tendance ? Et si l’énergie solaire est bien la solution à long terme, que faire en attendant ? Avec passion et rigueur scientifique, dénonçant au besoin les illusions, dont l’alliance contre nature entre le lobby international du charbon et les écologistes antinucléaires, Bernard Tissot livre ici les conditions auxquelles nous pouvons espérer garder notre planète verte. Bernard Tissot, membre de l’Académie des sciences, a enseigné à l’Institut de physique du globe. Il est président de la Commission nationale d’évaluation des recherches sur la gestion des déchets radioactifs.
An Introduction to Sobolev Spaces and Interpolation Spaces
After publishing an introduction to the Navier–Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set of lecture notes based on a graduate course in two parts, as indicated by the title. A draft has been available on the internet for a few years. The author has now revised and polished it into a text accessible to a larger audience.
Analysis II
Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.
Edward Teller Lectures
How to achieve unlimited, safe, clean and low-cost energy by laser- or beam-driven inertial nuclear fusion has preoccupied all winners of the Edward Teller Medal since its inception in 1991. This book presents their findings, meeting discussions, and personal insights from Edward Teller himself. Expect discussion of important advances anticipated in the future such as multi-billion dollar fusion research projects (NIF), and new schemes such as the petawatt-picosecond laser-plasma interactions evoking new physics and coupling mechanisms. For the first time, laser technology of the new century is providing the very short and extremely intense energetic pulses needed for fusion energy from next...
Megawatts and Megatons
In Megawatts and Megatons, world-renowned physicists Richard L. Garwin and Georges Charpak offer an accessible, eminently well-informed primer on two of the most important issues of our time: nuclear weapons and nuclear power. They begin by explaining clearly and concisely how nuclear fission and fusion work in both warheads and reactors, and how they can impact human health. Making a strong and eloquent argument in favor of arms control, Garwin and Charpak outline specific strategies for achieving this goal worldwide. But they also demonstrate how nuclear power can provide an assured, economically feasible, and environmentally responsible source of energy—in a way that avoids the hazards of weapons proliferation. Numerous figures enliven the text, including cartoons by Sempé.
Rapport biennal sur la science et la technologie en France
Synthèse de 11 rapports thématiques qui traite des découvertes majeures dans les sciences et techniques, en particulier dans les sciences de la vie. Donne des recommandations visant à adapter le système français de recherche-développement et d'enseignement aux nouvelles données scientifiques et économiques.
