The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics.
The book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.
In awarding him the 1991 Nobel prize for his theoretical studies on liquid crystals and polymers, the Nobel foundation has paid tribute to his undoubted genius in discovering mathematical simplicity and elegance in the most complex and “messy” of systems. His deep insights into these fields have enabled others to exploit liquid crystals in technology and have paved the way for physicists to work on polymers.
SIMPLE VIEWS ON CONDENSED MATTER presents a personal selection of the major works of de Gennes. It comes complete with afterthoughts by the author on his main papers, explaining their successes or weaknesses, and the current views on each special problem. This collector's volume contains all the important works of de Gennes which have made a lasting impact on our understanding of condensed matter, and serves as an essential reference book for all condensed matter physicists and physical chemists. It also bears testimony to the genius of a remarkable man, and should be a source of inspiration for aspiring scientists around the world.
“This book collects a series of articles in which problems which had always been thought quite intractable are shown to be solved by simple, but clear thinking. Although the phrase “simple views” is justified by the clarity of de Gennes exposition, the problems had been unresolved for decades and it is a tribute to de Gennes' intuitive skill that he has been able to solve so many problems which are not only deep basic science, but also central in modern technology.”Sam Edwards
“For amateurs and connoisseurs — interested in physics, chemistry or biology — Pierre-Gilles de Gennes has opened his gentry-style ‘cabinet de curiosités’. Miscellaneous products of his inventive industry, including the famous and the unfamous, are brought together in this self-selected Collection, accompanied with recent hindsightful remarks of the Nobel laureate.”Gérard Toulouse
“This volume of collected works of Pierre-Gilles de Gennes will be a valuable and stimulating source for many years to come for younger readers and for beginners in the subfields of condensed matter covered in this volume, as well as a useful and compact reference book for all workers in the field.”Helmut R Brand
In this fascinating book, Nobel Prize winner Pierre-Gilles de Gennes wittily captures the lives of personalities from both the academic and the industrial world in delightful bite-size stories. Most of the characters in this collection are like those in Aesop's fables, but in modern-day research settings. The book provides a critical account of aberrations (fortunately rare) of the scientific community. Many lessons can be drawn from the stories. For the young researcher, this book is like a telescope: for seeing other human beings beyond his or her laboratory. For the administrator, this book is like a microscope: for seeing inside the human beings huge and complex structures. However, like Aesop's fables, you would not offer the book as a gift to anyone other than a close and wise friend.
Petit Point is not a book to be devoured in a single sitting. It is one to be savored and reflected upon — it shows what the world may be like and what we ourselves may become. It is like a mirror — to be visited from time to time.