Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.
Geophysical fluid dynamics examines the dynamics of stratified and turbulent motion of fluids in the ocean and outer core, and of gases in the atmosphere. This book explains key notions and fundamental processes of the dynamics of large- and medium-scale atmospheric and oceanic motions from the unifying viewpoint of the rotating shallow water model. The model plays a distinguished role in geophysical fluid dynamics. It has been used for about a century for conceptual understanding of various phenomena, for elaboration of approaches and methods to be used later in more complete models, for development and testing of numerical codes, and for many other purposes. In spite of its simplicity, the model grasps essential features of the complete "primitive equations" models, being their vertically averaged version, and gives an intuitive representation and clear vision of principal dynamical processes. This book is a combination of a course on geophysical fluid dynamics (Part 1), with explanations and illustrations of fundamentals, and problems, as well as a more advanced treatise of a range of principal dynamical phenomena (Part 2), including recently arisen approaches and applications (Part 3). Mathematics and physics underlying dynamical phenomena are explained, with necessary demonstrations. Yet, an important goal of the book is to develop the reader's physical intuition and qualitative insights.
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
This volume presents articles originating from invited talks at an exciting international conference held at The Fields Institute in Toronto celebrating the sixtieth birthday of the renowned mathematician, Vladimir Arnold. Experts from the world over--including several from "Arnold's school"--gave illuminating talks and lively poster sessions. The presentations focused on Arnold's main areas of interest: singularity theory, the theory of curves, symmetry groups, dynamical systems, mechanics, and related areas of mathematics. The book begins with notes of three lectures by V. Arnold given in the framework of the Institute's Distinguished Lecturer program. The topics of the lectures are: (1) From Hilbert's Superposition Problem to Dynamical Systems (2) Symplectization, Complexification, and Mathematical Trinities (3) Topological Problems in Wave Propagation Theory and Topological Economy Principle in Algebraic Geometry. Arnold's three articles include insightful comments on Russian and Western mathematics and science. Complementing the first is Jurgen Moser's "Recollections", concerning some of the history of KAM theory.
Vladimir Jabotinsky’s famous autobiography, published in English for the first time. Vladimir Jabotinsky is well remembered as a militant leader and father of the right-wing Revisionist Zionist movement, but he was also a Russian-Jewish intellectual, talented fiction writer, journalist, playwright, and translator of poetry into Russian and Hebrew. His autobiography, Sippur yamai, Story of My Life—written in Hebrew and published in Tel Aviv in 1936—gives a more nuanced picture of Jabotinsky than his popular image, but it was never published in English. In Vladimir Jabotinsky’sStory of My Life, editors Brian Horowitz and Leonid Katsis present this much-needed translation for the first time, based on a rough draft of an English version that was discovered in Jabotinsky’s archive at the Jabotinsky Institute in Tel Aviv. Jabotinsky’s volume mixes true events with myth as he offers a portrait of himself from his birth in 1880 until just after the outbreak of World War I. He describes his personal development during childhood and early adult years in Odessa, Rome, St. Petersburg, Vienna, and Istanbul, during Russia’s Silver Age, a period known for spiritual searching, but also political violence, radicalism, and pogroms. He tells of his escape to Rome as a youth, his return to Odessa, and his eventual adoption of Zionism. He also depicts struggles with rivals and colleagues in both politics and journalism. The editors introduce the full text of the autobiography by discussing Jabotinsky’s life, legacy, and writings in depth. As Jabotinsky is gaining a reputation for the quality of his fictional and semi-fictional writing in the field of Israel studies, this autobiography will help reading groups and students of Zionism, Jewish history, and political studies to gain a more complete picture of this famous leader.
The use of high-pressure techniques has become popular for studying the nature of substances and phenomena occurring in them, especially as a means of obtaining new materials (synthesis under high pressure) and processing known materials (hydroextrusion). A product of many years of research by the authors and their colleagues, Phase Transitions in
Collating different aspects of Vector-valued Partial Differential Equations and Applications, this volume is based on the 2013 CIME Course with the same name which took place at Cetraro, Italy, under the scientific direction of John Ball and Paolo Marcellini. It contains the following contributions: The pullback equation (Bernard Dacorogna), The stability of the isoperimetric inequality (Nicola Fusco), Mathematical problems in thin elastic sheets: scaling limits, packing, crumpling and singularities (Stefan Müller), and Aspects of PDEs related to fluid flows (Vladimir Sverák). These lectures are addressed to graduate students and researchers in the field.
The book presents Winfried Georg Sebald and Ian McEwan as paradigmatic post-imperial writers who enmeshed in the hierarchies of power inherited from their imperial times, strive to disentangle themselves from that burdensome legacy. To achieve this, they undertake a subtle detachment from the analogously implicated subject positions of their protagonists. In Sebald’s works, these positions are closer to the historical victims of the Third Reich who used to suppress their past experiences, whereas in McEwan’s works, they incline toward the systemic ‘beneficiaries’ of the British Empire who used to overlook their present privileges. However, in distinction to their protagonists’ denied involvements, both authors recognize their implication in their protagonists’ pasts and presents. Such a detachment from familiar protagonists requires the consent of unknown and scattered readers with whom they forge a long-distance solidarity, connective association or complicitous alliance. Thus, to exempt themselves from one complicity, they enter another one.
Biomechanical Mapping of the Female Pelvic Floor explores new technological advances in women's healthcare intended to improve pelvic floor characterization, diagnosis and prediction of treatment outcomes. The book describes biomechanical approaches and clinical examples to demonstrate how one can evaluate the changes in the pelvic floor to gain a better understanding of an individual patient's pelvic floor dysfunctions, such as prolapse, incontinence, chronic pelvic pain, and even conditions leading to spontaneous preterm delivery and predicting maternal birth trauma. This book is a valuable resource for researchers focused on gynecology, urogynecology or obstetrics, clinicians, graduate students and biomedical scientists and bioengineers who need to better understand the technological advances in biomechanical characterization and how they can be used not only for diagnosis but also for monitoring several OBGYN-related conditions. - Discusses the most recent advances in the field of biomechanical characterization of soft tissues, pelvic support and function, including different applications of tactile imaging, ultrasound and magnetic resonance elastography - Explores new diagnostic devices and techniques, mathematical models and simulations to address preoperative assessment and prediction of pelvic surgery outcomes and delivery - Presents reviews of the results of multiple clinical studies with the biomechanical mapping of human tissues and organs to provide comprehensive information on the subject and determine future directions in the field
This book is a collection of papers on dynamical and statistical theory of nonlinear wave propagation in dispersive conservative media. Emphasis is on waves on the surface of an ideal fluid and on Rossby waves in the atmosphere. Although the book deals mainly with weakly nonlinear waves, it is more than simply a description of standard perturbation techniques. The goal is to show that the theory of weakly interacting waves is naturally related to such areas of mathematics as Diophantine equations, differential geometry of waves, Poincare normal forms and the inverse scattering method.
The necessity of describing three-nucleon and three-quark systems have led to a constant interest in the problem of three particles. The question of including relativistic effects appeared together with the consideration of the decay amplitude in the framework of the dispersion technique. The relativistic dispersion description of amplitudes always takes into account processes connected with the investigated reaction by the unitarity condition or by virtual transitions; in the case of three-particle processes they are, as a rule, those where other many-particle states and resonances are produced. The description of these interconnected reactions and ways of handling them is the main subject of the book.
This interdisciplinary book parameterizes the global ecodynamic process. The discussion considers basic global problems of the Nature-Society-System (NSS) dynamics and reviews key problems of ensuring its sustainable development. The book includes an analysis of trends in changing ecological systems and estimates characteristics of current global ecodynamics. The authors propose a new approach to NSS numerical modelling and demonstrate the results of modelling the dynamics of this system's characteristics.
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