The notion of an invariant manifold arises naturally in the asymptotic stability analysis of stationary or standing wave solutions of unstable dispersive Hamiltonian evolution equations such as the focusing semilinear Klein-Gordon and Schrodinger equations. This is due to the fact that the linearized operators about such special solutions typically exhibit negative eigenvalues (a single one for the ground state), which lead to exponential instability of the linearized flow and allows for ideas from hyperbolic dynamics to enter. One of the main results proved here for energy subcritical equations is that the center-stable manifold associated with the ground state appears as a hyper-surface which separates a region of finite-time blowup in forward time from one which exhibits global existence and scattering to zero in forward time. The authors' entire analysis takes place in the energy topology, and the conserved energy can exceed the ground state energy only by a small amount. This monograph is based on recent research by the authors. The proofs rely on an interplay between the variational structure of the ground states and the nonlinear hyperbolic dynamics near these states. A key element in the proof is a virial-type argument excluding almost homoclinic orbits originating near the ground states, and returning to them, possibly after a long excursion. These lectures are suitable for graduate students and researchers in partial differential equations and mathematical physics. For the cubic Klein-Gordon equation in three dimensions all details are provided, including the derivation of Strichartz estimates for the free equation and the concentration-compactness argument leading to scattering due to Kenig and Merle.
This book is written for students and researchers who are fond of mathematics and the natural sciences. It consists of two parts. Part I presents the theory of analysis in which the mathematical theory is described not as an accomplished palace, but as a building under construction. It uncovers how a theory has been or is being constructed. In Part II, the theory of differential equations is applied to interesting practical problems, such as pursuit-line and tractrix, attack on an object from an airplane, an insect crawling along a stretching rubber rod, the SIR model of a virus infection, string vibration, circular membrane vibration, as well as the wind ripple, sand dune and wave phenomena on a highway. Furthermore, the problems of a one-dimensional lattice vibration, the keyboard percussion vibration and the eigenvalue problems in quantum mechanics, such as the Aharonov-Bohm effect, are also investigated in detail.
A comprehensive study of the life, philosophies, fighting strategies, and works of the legendary samurai warrior who wrote The Book of Five Rings Miyamoto Musashi, who lived in Japan in the fifteenth century, was a renowned samurai warrior. He has become a martial arts icon, known not just as an undefeated dueler, but also as a master of battlefield strategy. Kenji Tokitsu turns a critical eye on Musashi's life and writings, separating fact from fiction, and giving a clear picture of the man behind the myth. Musashi's best-known work, The Book of Five Rings, provides timeless insight into the nature of conflict. Tokitsu translates and provides extensive commentary on that popular work, as well as three other short texts on strategy that were written before it, and a longer, later work entitled "The Way to Be Followed Alone." Tokitsu is a thoughtful and informed guide, putting the historical and philosophical aspects of the text into context, and illuminating the etymological nuances of particular Japanese words and phrases. As a modern martial artist and a scholar, Tokitsu provides a view of Musashi's life and ideas that is accessible and relevant to today's readers and martial arts students.
Advances in Geosciences is the result of a concerted effort to bring together the latest results and planning activities related to earth and space science in Asia and the international arena. The volume editors are all leading scientists in their research fields covering six sections: Atmospheric Science (AS), Hydrological Science (HS), Ocean Science (OS), Solid Earth (SE), Solar Terrestrial (ST) and Planetary Science (PS). The main purpose is to highlight the scientific issues essential to the study of earthquakes, tsunamis, atmospheric dust storms, climate change, drought, flood, typhoons, monsoons, space weather, and planetary exploration.
Elementary Processes in Excitations and Reactions on Solid Surfaces explores the fundamental nature of dynamics on solid surfaces. Attempts are made to reveal various aspects of elementary processes in excitations and reactions on solid surfaces by recent theoretical and experimental developments of the subjects such as molecular beams interacting with surfaces, ion beam scattering, laser-induced dynamical processes, electronically induced dynamical processes, and optical properties of solid surfaces. This volume is devided into three parts. Part I is concerned mainly with the rich reaction dynamics on potential-energy surfaces. Part II is devoted to the interplay of excitations and reactions with particular attention given to the charge transfer as well as the energy transfer between well-characterized surfaces and beams. In Part III, new and rapidly developing methods are introduced.
The subject of surface physics has now grown to become an exciting interdisciplinary field of research with important practical applications.The purpose of this book is to provide a guided tour of some recent advances, key research issues and approaches in electronic processes at solid surfaces.Apart from a few structural studies, selected topics have been chosen to illustrate the dynamical response of the solid surface to external probes, with the main emphasis on electron transfer phenomena.
Many small molecules occur naturally as "messenger" chemicals which regulate the behaviour and functions of microbes, plants, insects and animals. Examples include hormones, pheromones, phytoalexins, and antifeedants. These biofunctional molecules are of great interest to researchers in helping develop our understanding of biological function and in the development of new drugs. However extracting them from nature can be prohibitively expensive, so there is great interest in devising methods of synthesising them from simple starting materials in the laboratory. Chemical Synthesis of Hormones, Pheromones and Other Bioregulators is an introduction to the techniques and strategies for the synthesis of biofunctional small molecules. Topics include: what are biofunctional molecules? why must biofunctional molecules be synthesized? how can we synthesize biofunctional molecules? the synthesis of phytohormones, phytoalexins and other biofunctional molecules of plant origin the synthesis of insect juvenile hormones and antifeedants the synthesis of pheromones and the significance of chirality in pheromone science the synthesis of microbial hormones and pheromones, antibiotics, and other biofunctional molecules of microbial origin the synthesis of marine antifeedants and medicinal candidates a synthetic examination of incorrectly proposed structures of biomolecules reflections on science as a human endeavor Drawing on a career of almost 50 years researching and teaching this subject, Kenji Mori's Chemical Synthesis of Hormones, Pheromones and Other Bioregulators is a must-have textbook for students and researchers of organic synthesis and natural products, and a stimulating and inspiring account of a distinguished chemical career.
This book offers a timely and multifaceted reanalysis of student radicalism in postwar Japan. It considers how students actively engaged the early postwar debates over subjectivity, and how the emergence of a new generation of students in the mid-1950s influenced the nation’s embrace of the idea that ‘the postwar’ had ended. Attentive to the shifting spatial and temporal boundaries of ‘postwar Japan,’ it elucidates previously neglected histories of student and zainichi Korean activism and their interactions with the Japanese Communist Party. This book is a key read for scholars in the field of Japanese history, social movements and postcolonial studies, as well as the history of student radicalism.
The replacement of hydrogen with fluorine in organic molecules canprofoundly influence their chemical and physical properties,leading to a range of compounds with highly desirable properties.These molecules are of interest across the wide spectrum ofindustrial and academic organic chemistry, so that organofluorinechemistry is economically highly important. Organofluorine Chemistry will help chemists to develop a systematicknowledge of the chemistry of fluorine with a view towards itsapplication in the design of new reactions and syntheses, and thecreation of novel fluorinated molecules and materials. With initialchapters focusing on why fluorine creates such unique properties inorganic compounds, the book then covers general reactions offluorine. Coverage is chosen from the recent research literature,concentrating on the development of novel bioactive compounds andcatalytic ligands, and explaining, in the context of the initialchapters, how and why fluorine is so effective. With a finalchapter covering the general synthetic chemistry of organofluorinecompounds, the book is a cohesive summary of the fundamentalprincipals of organofluorine chemistry.
Recent research has given great insight into the physiological and pharmaceutical effects of histamine on the central nervous system and especially on the brain. This volume focuses on these many new findings, including the role of brain histamine in the arousal system, learning, and memory. Also featured are the mechanisms of histamine release in bone marrow and mast cells and the role of histamine in neutrophil differentiation. These are analyzed using the most up-to-date techniques of molecular pharmacology and refined immunoelectroscopy. In addition, the pharmacological profiles of newly developed H1 antagonists are described, making this book invaluable to those who want to understand the very latest advances in histamine research.
This is the first book that takes a theoretical approach to the effects of international immigration by considering the current economic topics confronted by more highly developed countries such as Japan. Developed here is the classic trade model by Heckscher–Ohlin–Samuelson, McDougall’s basic model of the international movement factor, the urban–rural migration model by Harris–Todaro, and Copeland–Taylor’s well-known model in the field of environmental economics by introducing new trends such as economic integration including free trade and factor mobility between countries at different stages of development. Coexistence of two types of immigrants – legal, skilled workers and illegal, unskilled workers – without any explicit signs of discrimination, transboundary pollution caused by neighboring lower-developed countries with poor pollution abatement technology, difficult international treatment of transboundary renewable resources, the rapid process of aging and population decrease, the higher unemployment rate of younger generations, and the serious gap between permanent and temporary employed workers—are also considered in this book as new and significant topics under the context of international immigration. Taking into account the special difficulties of those serious problems in Asia, each chapter illustrates Japanese and other Asian situations that encourage readers to understand the importance of optimal immigration policies. Also shown is the possibility that economic integration and liberalization of international immigration should bring about positive effects on the economic welfare of the developed host country including the aspects of natural environment, renewable transboundary resources, the rate of unemployment, and the wage gap between workers.
As electric devices become smaller and smaller, transport simulations based on the quantum mechanics become more and more important. There are currently numerous textbooks on the basic concepts of quantum transport, but few present calculation methods in detail. This book provides various quantum transport simulation methods and shows applications
Since time immemorial, Japan has been inhabited by supernatural creatures, spirits, monsters and demons…Here's your chance to meet them up close and personal! Strange Japanese Yokai assembles an extraordinary collection of mysterious creatures in every possible shape and size, each with their own unique back story. Some are well-known, others obscure. The one thing they share in common is that they are creepy and weird! The 122 different Yokai described in this book include: The Kappa: A dangerous creature who lives in lakes and rivers and attacks passers-by The Nurarihyon: A mysterious Yokai with a huge head who steals food, tobacco and alcohol The Yadokai: A mischievous former monk who wanders at night vandalizing and being a pest The Ohaguru:A scary Yokai with black teeth who looks like a beautiful woman from afar until she gets closer, smiles, and reveals herself And over 100 more! Yokai expert Kenji Murakami identifies each Yokai, explains the history, where they commonly appear, and their strange powers. The book is illustrated with hundreds of full-color drawings showcasing the fascinating features of these strange creatures. Every monster here, no matter how disgusting, is part of the rich cultural legacy of Japan. *Recommended for readers ages 14 & up*
The first Asian Accelerator School (AAS) was organised to show the rapid development of accelerator sciences based on electron storage rings in Asia. At present seven electron-positron colliders are operational in the world, and two of them are located in Asia: KEKB (the KEK B-Factory) at KEK in Japan, and BEPC at IHEP in China. It is also notable that one-third of the operating synchrotron light sources are Asian machines.To further improve the performance of electron storage rings, the use of superconducting magnets and cavities is of vital importance; therefore the curriculum of AAS was arranged not only to teach the basic physics of storage rings but also to give students a basic knowledge of superconducting technology.
This book reveals unique transport phenomena and functionalities in topological insulators coupled with magnetism and superconductivity. Topological insulators are a recently discovered class of materials that possess a spin-momentum-locked surface state. Their exotic spin texture makes them an exciting platform for investigating emergent phenomena, especially when coupled with magnetism or superconductivity. Focusing on the strong correlation between electricity and magnetism in magnetic topological insulators, the author presents original findings on current-direction-dependent nonreciprocal resistance, current-induced magnetization reversal and chiral edge conduction at the domain wall. In addition, he demonstrates how the coupling between superconductivity and topological surface state leads to substantial nonreciprocal resistance. The author also elucidates the origins of these phenomena and deepens readers’ understanding of the topologically nontrivial electronic state. The book includes several works which are published in top journals and were selected for the President’s Award by the University of Tokyo and for the Ikushi Prize, awarded to distinguished Ph.D. students in Japan.
The notion of an invariant manifold arises naturally in the asymptotic stability analysis of stationary or standing wave solutions of unstable dispersive Hamiltonian evolution equations such as the focusing semilinear Klein-Gordon and Schrodinger equations. This is due to the fact that the linearized operators about such special solutions typically exhibit negative eigenvalues (a single one for the ground state), which lead to exponential instability of the linearized flow and allows for ideas from hyperbolic dynamics to enter. One of the main results proved here for energy subcritical equations is that the center-stable manifold associated with the ground state appears as a hyper-surface which separates a region of finite-time blowup in forward time from one which exhibits global existence and scattering to zero in forward time. The authors' entire analysis takes place in the energy topology, and the conserved energy can exceed the ground state energy only by a small amount. This monograph is based on recent research by the authors. The proofs rely on an interplay between the variational structure of the ground states and the nonlinear hyperbolic dynamics near these states. A key element in the proof is a virial-type argument excluding almost homoclinic orbits originating near the ground states, and returning to them, possibly after a long excursion. These lectures are suitable for graduate students and researchers in partial differential equations and mathematical physics. For the cubic Klein-Gordon equation in three dimensions all details are provided, including the derivation of Strichartz estimates for the free equation and the concentration-compactness argument leading to scattering due to Kenig and Merle.
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