Sleep disorders still often remain unrecognized and untreated despite the rapid advances in the understanding of their nature over the last few years. Sleep medicine as a specialty is only beginning to evolve and communication is often lacking between sleep specialists and other doctors who are developing an interest in sleep problems. I hope this book will bridge this gap by providing an up-to-date account of views on sleep and its disorders. Sleep medicine crosses the conventional medical specialties and this has made it difficult for any one person to remain informed about the whole field. It has, however, opened up interesting interfaces between the specialties that have generated new ideas and treatments. The study of sleep disorders is one of the fastest developing areas of medicine with a rapidly growing scientific basis for clinical practice. The aim of this book is to provide an integrated view of clinical problems that fall within each of the medical subspecialties and to illustrate how their assessment and treatment are based on an understanding of the abnormal processes occurring during sleep.
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Sleep Medicine
Mathematical and Physical Theory of Turbulence
Turbulence arises in practically all flow situations that occurs naturally or in modern technological systems. The turbulence problem poses many formidable intellectual challenges and occupies a central place in modern nonlinear mathematics and statistical physics. As the great physicist Richard Feynman mentioned, it is the last great unsolved problem of classical physics. The American Mathematical Society has listed the turbulence problem as one of the four top unsolved problems of mathematics. It is also one of the seven problems for which the Clay Institute has recently announced a $1 million prize. The powerful notions of scaling and universality, which matured when renormalization group theory was applied to critical phenomena, had been manifested in turbulence previously. The recent dynamical system approach has provided several important insights into the turbulence problem. However, deep problems still remain to challenge conventional methodologies and concepts. There is considerable need and opportunity to advance and apply new physical concepts as well as new mathematical modeling and analysis techniques. There is also an ongoing need to bridge the gap between the grand theories of idealized turbulence and the harsh realities of practical applications. The turbulence problem continues to command the attention of physicists, applied mathematicians, and engineers.
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