The smoothness of solutions for quasilinear systems is one of the most important problems in modern mathematical physics. This book deals with regular or strong solutions for general quasilinear second-order elliptic and parabolic systems. Applications in solid mechanics, hydrodynamics, elasticity and plasticity are described. The results presented are based on two main ideas: the universal iterative method, and explicit, sometimes sharp, coercivity estimates in weighted spaces. Readers are assumed to have a standard background in analysis and PDEs.
In a definitive new account of the Soviet Union at war, Alexander Hill charts the development, successes and failures of the Red Army from the industrialisation of the Soviet Union in the late 1920s through to the end of the Great Patriotic War in May 1945. Setting military strategy and operations within a broader context that includes national mobilisation on a staggering scale, the book presents a comprehensive account of the origins and course of the war from the perspective of this key Allied power. Drawing on the latest archival research and a wealth of eyewitness testimony, Hill portrays the Red Army at war from the perspective of senior leaders and men and women at the front line to reveal how the Red Army triumphed over the forces of Nazi Germany and her allies on the Eastern Front, and why it did so at such great cost.
This book presents analytical formulas which allow one to calculate the S-matrix for the acoustic and electromagnetic wave scattering by small bodies or arbitrary shapes with arbitrary accuracy. Equations for the self-consistent field in media consisting of many small bodies are derived. Applications of these results to ultrasound mammography and electrical engineering are considered.The above formulas are not available in the works of other authors. Their derivation is based on a mathematical theory for solving integral equations of electrostatics, magnetostatics, and other static fields. These equations are at a simple characteristic value. Convergent iterative processes are constructed for stable solution of these equations. The theory completes the classical work of Rayleigh on scattering by small bodies by providing analytical formulas for polarizability tensors for bodies of arbitrary shapes.
In the book there are introduced models and methods of construction of pseudo-solutions for the well-posed and ill-posed linear functional equations circumscribing models passive, active and complicated experiments. Two types of the functional equations are considered: systems of the linear algebraic equations and linear integral equations. Methods of construction of pseudos6lutions are developed in the presence of passive right-hand side errors for two types of operator errors: passive measurements and active representation errors of the operator, and all their combinations. For the determined and stochastic models of passive experiments the method of the least distances of construction of pseudosolutions is created, the maximum likelihood method of construction of pseudosolutions is applied for active experiments, and then methods for combinations of models of regression, of passive and of active experiments are created. We have constructed regularized variants of these methods for systems of the linear algebraic equations with the degenerated matrices and for linear integral equations of the first kind. In pure mathematics, the solution techniques of the functional equations with exact input data more often are studied. In applied mathematics, problem consists in construction of pseudosolutions, that is, solution of the hctional equations with perturbed input data. Such problem in many cases is incomparably more complicated. The book is devoted to a problem of construction of a pseudosolution (the problem of a parameter estimation) in the following fundamental sections of applied mathematics: confluent models passive, active and the every possible mixed experiments.
Imperial Russia, is was said, had two capital cities because it had two identities: St. Petersburg was Russia's "window to Europe," whereas Moscow preserved the nation's proud historical traditions. Enlightened Metropolis challenges this myth by exploring how the tsarist regime actually tried to turn Moscow into a bridgehead of Europe in the heartland of Russia. Moscow in the eighteenth century was widely scorned as backward and "Asiatic." The tsars thought it a benighted place that endangered their state's internal security and their effort to make Russia European. Beginning with Catherine the Great, they sought to construct a new Moscow, with European buildings and institutions, a Westernized "middle estate," and a new cultural image as an enlightened metropolis. Drawing on the methodologies of urban, social, institutional, cultural, and intellectual history, Enlightened Metropolis asks: How was the urban environment - buildings, institutions, streets, smells - transformed in the nine decades from Catherine's accession to the death of Nicholas I? How were the lives of the inhabitants changed? Did a "middle estate" come into being? How similar was Moscow's modernization to that of Western cities, and how was it affected by the disastrous occupation by Napoleon? Lastly, how were Moscow and its people imagined by writers, artists, and social commentators in Russia and the West from the Enlightenment to the mid-nineteenth century?
In order to rescue his beloved Lyudmila, who has been abducted by the evil wizard Chernomor, the warrior Ruslan faces an epic and perilous quest, encountering a multitude of fantastic and terrifying characters along the way.The basis for Glinka's famous opera of the same name, Ruslan and Lyudmila - Pushkin's second longest poetical work - is a dramatic and ingenious retelling of Russian folklore, full of humour and irony.
Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.
The future of English linguistics as envisaged by the editors of Topics in English Linguistics lies in empirical studies which integrate work in English linguistics into general and theoretical linguistics on the one hand, and comparative linguistics on the other. The TiEL series features volumes that present interesting new data and analyses, and above all fresh approaches that contribute to the overall aim of the series, which is to further outstanding research in English linguistics.
This book is devoted to the investigations of non-stationary electromagnetic processes. The investigations are undertaken analytically mainly using the Volterra integral equations approach. The book contains a systematic statement of this approach for the investigations of electrodynamics phenomena in the time domain and new results and applications in microwave techniques and photonics. Particular consideration is given to electromagnetic transients in time-varying media and their potential applications. The approach is formulated and electromagnetic phenomena are investigated in detail for a hollow metal waveguide, which contains moving dielectric or plasma-bounded medium, and dielectric waveguides with time-varying medium inside a core.
This book presents experimental and theoretical results on extremely powerful plasma generators. It addresses pulsed electrical mega-ampere arcs and the mechanisms of energy transfer from the arc into hydrogen, helium and air under pressures up to 250 MPa and currents up to 2 MA. Extreme plasma parameters and increased energy density in the arc were achieved. It was found experimentally that increasing the initial gas pressure to hundreds of MPa leads to improved arc stability, high efficiency of energy transfer from arc to gas, and plasma enthalpy growth. The data obtained data provides the basis for the development of electrophysical devices with high energy density, e.g. high intensity sources for visible, UV and X-ray irradiation for laser pumping, generators of high enthalpy plasma jets, and plasma chemical reactors.
Extremely rare (possibly the only) book-length account of a Soviet penal unit in World War II Gritty, intense style conveys the brutality of war on the Eastern Front Composed of convicts--soldiers who conducted "unauthorized retreats," former Soviet POWs deemed untrustworthy, and Gulag prisoners--the Red Army's penal units received the most difficult, dangerous assignments, such as breaking through the enemy's defenses. So punishing was life in these units that officers in regular formations threatened to send recalcitrant troops to penal battalions. Alexander Pyl'cyn led his penal unit through the Soviets' massive offensive in the summer of 1944, the Vistula-Oder operation into eastern Germany, and the bitter assault on Berlin in 1945. He survived the war, but 80 percent of his men did not.
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, WienerHopf, Hammerstein, Uryson, and other equa
This proceedings volume is devoted to a wide variety of items, both in theory and experiment, of particle physics such as tests of the Standard Model and beyond, physics at the future accelerators, neutrino and astroparticle physics, heavy quark physics, non-perturbative QCD, quantum gravity effects and cosmology. It is important that the papers in this volume reveal the present status and new developments in the above-mentioned items on the eve of a new era that starts with the Large Hadron Collider (LHC).
A Herzen Reader presents in English for the first time one hundred essays and editorials by the radical Russian thinker Alexander Herzen (1812–1870). Herzen wrote most of these pieces for The Bell, a revolutionary newspaper he launched with the poet Nikolai Ogaryov in London in 1857. Smugglers secretly carried copies of The Bell into Russia, where it influenced debates over the emancipation of the serfs and other reforms. With his characteristic irony, Herzen addressed such issues as freedom of speech, a nonviolent path to socialism, and corruption and paranoia at the highest levels of government. He discussed what he saw as the inability of even a liberator like Czar Alexander II to commit to change. A Herzen Reader stands on its own for its fascinating glimpse into Russian intellectual life of the 1850s and 1860s. It also provides invaluable context for understanding Herzen’s contemporaries, including Fyodor Dostoevsky and Ivan Turgenev.
China and Russia, two giants dominating the Eurasian landmass, share a history of understanding and misunderstanding whose nuances are not well appreciated by outsiders. In his interpretation of this relationship from the Russian point of view, Alexander Lukin shows how over the course of three centuries China has seemed alternately to threaten, mystify, imitate, mirror, and rival its northern neighbor. Lukin traces not only the changing dynamics of Russian-Chinese relations but the ways in which Russia's images of China more profoundly reflected Russia's self-perception and its perceptions of the West as well. As both Russia and China take distinctive approaches to political and economic development and integration in the twenty-first century global economy, this reinterpretation of their relationship is timely and valuable not only to historians but to all students of international affairs.
... an expert work... remarkable for its objectivity, judiciousness, and its sure handling of the available evidence." --Political Science Quarterly "... a fine piece of historical writing." --Soviet Studies "An able and scholarly inquiry into the perplexing abortive Petrograd uprising of June and July 1917... a very interesting view of revolutionary action on the local level." --Foreign Affairs First published in 1968, this pioneering study of revolutionary events in Petrograd in the summer of 1917 revised the established view of the Bolsheviks as a monolithic party. Rabinowitch documents how the party's pluralistic nature had crucial implications for the outcome of the revolution in October.
This text discusses electromagnetics from the view of operator theory, in a manner more commonly seen in textbooks of quantum mechanics. It includes a self-contained introduction to operator theory, presenting definitions and theorems, plus proofs of the theorems when these are simple or enlightening.
This book is intended for &tudents, research engineers, and mathematicians interested in applications or numerical analysis. Pure analysts will also find some new problems to tackle. Most of the material can be understood by a reader with a relatively modest knowledge of differential and inte gral equations and functional analysis. Readers interested in stochastic optimization will find a new theory of prac tical . importance. Readers interested in problems of static and quasi-static electrodynamics, wave scattering by small bodies of arbitrary shape, and corresponding applications in geophysics, optics, and radiophysics will find explicit analytical formulas for the scattering matrix, polarizability tensor, electrical capacitance of bodies of an arbitrary shape; numerical examples showing the practical utility of these formulas; two-sided variational estimates for the pol arizability tensor; and some open problems such as working out a standard program for calculating the capacitance and polarizability of bodies of arbitrary shape and numerical calculation of multiple integrals with weak singularities. Readers interested in nonlinear vibration theory will find a new method for qualitative study of stationary regimes in the general one-loop passive nonlinear network, including stabil ity in the large, convergence, and an iterative process for calculation the stationary regime. No assumptions concerning the smallness of the nonlinearity or the filter property of the linear one-port are made. New results in the theory of nonlinear operator equations form the basis for the study.
Leaders in the field predict the future of the microelectronics industry This seventh volume of Future Trends in Microelectronics summarizes and synthesizes the latest high-level scientific discussions to emerge from the Future Trends in Microelectronics international workshop, which has occurred every three years since 1995. It covers the full scope of cutting-edge topics in microelectronics, from new physical principles (quantum computing, correlated electrons), to new materials (piezoelectric nanostructures, terahertz plasmas), to emerging device technologies (embedded magnetic memories, spin lasers, and biocompatible microelectronics). An ideal book for microelectronics professionals and students alike, this volume of Future Trends in Microelectronics: Identifies the direction in which microelectronics is headed, enabling readers to move forward with research in an informed, efficient, and profitable manner Includes twenty-nine contributor chapters by international authorities from leading universities, major semiconductor companies, and government laboratories Provides a unified, cohesive exploration of various trends in microelectronics, looking to future opportunities, rather than past successes
This book analyzes various properties and structures of ice from the point of view to solve problems in civil aviation. The Arctic zone of the Russian Federation, together with large territories of Siberia and the Far East, is a zone, that is insufficiently provided with ground navigation facilities, as well as platforms and airfields for landing aircraft, including in the event of unpredictable situations. However, most of this area, especially in winter, is covered with ice, which can be used to solve this problem. The possibility of using ice sheets for the construction of airfields or the location of ground-based flight support facilities requires careful study and analysis. This book is devoted to the study of the properties and structure of ice, with a view for use in civil aviation to construct ice airfields and the placement of ground-based flight support facilities.
A Russian war hero who defeated Napoleon and became a mythic military figure. Alexander Mikaberidze's latest book is the first modern English-language biography of Mikhail Golenischev-Kutuzov, the famed Russian Field Marshal and central character of Leo Tolstoy's epic War and Peace. One of the most important military minds of the period, he is credited with defeating Napoleon and saving Russia, though his fame is not limited to the Napoleonic wars. As it often happens with national heroes, Kutuzov gradually became larger than life, a messianic character who led Holy Russia against the evils of the Revolution and anarchy; the Soviet leaders later exploited his personality for even more grandiose schemes. The real Kutuzov was gradually replaced by a mythical character who appeared at a time of great danger to save Russia. The impact of this propaganda can be still seen in modern Russia: In 2000, the public opinion poll showed that majority of the Russians consider Kutuzov as the Person of the 19th Century, far ahead of famous writers Alexander Pushkin and Leo Tolstoy, composer Peter Tchaikovsky or scientist Dmitry Mendeleyev, while the 2017 public opinion poll placed Kutuzov in the top twenty of the most distinguished historical personalities in world history (slightly behind Napoleon). As much as Kutuzov is venerated in Russia, he remains an overlooked figure in the West, with Western historiography comprising of just a handful of titles in English, French or German, the vast majority of them translations of older Soviet works or derived from them. This book provides a new biography of the field marshal, examining his personal life and military/diplomatic accomplishments, and relying on a wide range of primary and secondary sources as well as Russian archival material. Mikaberidze offers a fresh look at the historical figure whose character remains elusive but whose accomplishments are irrefutable.
Iterative methods for calculating static fields are presented in this book. Static field boundary value problems are reduced to the boundary integral equations and these equations are solved by means of iterative processes. This is done for interior and exterior problems and for var ious boundary conditions. Most problems treated are three-dimensional, because for two-dimensional problems the specific and often powerful tool of conformal mapping is available. The iterative methods have some ad vantages over grid methods and, to a certain extent, variational methods: (1) they give analytic approximate formulas for the field and for some functionals of the field of practical importance (such as capacitance and polarizability tensor), (2) the formulas for the functionals can be used in a computer program for calculating these functionals for bodies of arbitrary shape, (3) iterative methods are convenient for computers. From a practical point of view the above methods reduce to the cal culation of multiple integrals. Of special interest is the case of inte grands with weak singularities. Some of the central results of the book are some analytic approximate formulas for scattering matrices for small bodies of arbitrary shape. These formulas answer many practical questions such as how does the scattering depend on the shape of the body or on the boundary conditions, how does one calculate the effective field in a medium consisting of many small particles, and many other questions.
Personalized Computational Hemodynamics: Models, Methods, and Applications for Vascular Surgery and Antitumor Therapy offers practices and advances surrounding the multiscale modeling of hemodynamics and their personalization with conventional clinical data. Focusing on three physiological disciplines, readers will learn how to derive a suitable mathematical model and personalize its parameters to account for pathologies and diseases. Written by leading experts, this book mirrors the top trends in mathematical modeling with clinical applications. In addition, the book features the major results of the "Research group in simulation of blood flow and vascular pathologies" at the Institute of Numerical Mathematics of the Russian Academy of Sciences. Two important features distinguish this book from other monographs on numerical methods for biomedical applications. First, the variety of medical disciplines targeted by the mathematical modeling and computer simulations, including cardiology, vascular neurology and oncology. Second, for all mathematical models, the authors consider extensions and parameter tuning that account for vascular pathologies. - Examines a variety of medical disciplines targeted by mathematical modeling and computer simulation - Discusses how the results of numerical simulations are used to support clinical decision-making - Covers hemodynamics relating to various subject areas, including vascular surgery and oncological tumor treatments
After his crushing defeat of Prussia in 1806, Napoleon marched into Poland to forestall any Russian attempts to come to the aid of their ally. There then followed the bloody battle in a blizzard at Eylau on 8 February 1807, which decimated both armies. Operations resumed in the spring and on 14 June Napoleon wrecked the Russian field army at Friedland. Napoleon and Emperor Alexander met at Tiltsit, and French mastery of north-west Europe was confirmed.??This is the first book to bring together dozens of Russian letters, memoirs and diaries, with authors ranging from the commander-in-chief (Benningsen) to NCOs. We see the brutal conditions of the winter campaign at first hand, and gain fresh insight into the infamous Treaty of Tiltsit and the diplomatic manoeuvring that followed it.
A culture that demands only freedom from politics, while rejecting and shunning politics itself, remains inadequate, lifeless, and is ultimately doomed. In its turn, politics that rejects the spiritual oversight of culture inevitably degenerates into tyranny or anarchy, into corruption and mediocrity. Inside this deceptively modest volume will be found a remarkably prescient collection of broadcasts, that are perhaps even more pertinent to the contemporary culture and politics of Russia than they were to the audience within the Soviet Union to whom they were originally addressed. Schmemann presents the complex history of Russia and analyzes trends and tendencies within its culture concisely and simply: showing them to be frequently contradictory and even mutually exclusive. He clarifies the multilayered meaning of "foundations"— its underlying building blocks, the spiritual, the political, the historical, as well as the cultural assets in literature, art, science, and philosophy. In these elements he shows what Russia is grappling with in its struggle to find a synthesis that draws both from its own unique elements and its historical and ongoing interconnectedness with the "West" and the "East.
Yermolov is a legend in Russia. A man who rose from obscurity to command armies and conquer provinces, he was the epitome of a military man of action. To his enemies he was a byword for brutality, but, to his homeland, a hero. His memoirs are as dramatic as his rise to fame and fortune. Disgraced and exiled by Emperor Paul he was brought back into service only to witness Russian defeat at the battle of Austerlitz in 1805. Honoured and advanced by his new patron, the dashing Emperor Alexander, Yermolov then made rapid progress. He witnessed firsthand Napoleon's invasion of Russia in 1812 and went on to see revenge completed when the Russians marched into Paris in April 1814. Yermolov was a talented general who captured the spirit of his times in his engaging memoirs. His acidic wit, acute powers of observation and grasp of drama make his memoirs stand out as a unique source on the Napoleonic Wars.
The Russian Officer Corps of The Revolutionary and Napoleonic Wars, 1795–1815 features more than 800 detailed biographies of the commanders of that era. Foreword by Professor Donald H. Horward, Institute on Napoleon and the French Revolution, Florida State University Based upon years of research in Russian archives, historian Alexander Mikaberidze’s biographies include the subject’s place of birth, family history, educational background, a detailed description of his military service, his awards and promotions, wounds, transfers, commands, and other related information, including the date and place of his death and internment, if known. In addition, an introductory chapter presents in meticulous detail the organization of the Russian military, how it was trained, the educational and cultural background of the officer corps, its awards and their history and meaning, and much more. This outstanding overview is supported and enhanced by three dozen charts, tables, and graphics that illustrate the rich history of the Russian officer corps. This study also includes an annotated bibliography to help guide students of the period through the available Russian sources. Stunning in its scope and depth of coverage, The Russian Officer Corps is essential reading for historians, scholars, genealogists, hobbyists, war gamers, and anyone working or studying late eighteenth and early nineteenth-century European history. Every student of the Revolutionary and Napoleonic Wars, as well as every academic library, will find this impressive reference work of this momentous period of history absolutely indispensable.
This work is dedicated to the study of the composition, structure and dynamics of the Arctic sea ice ecosystem. It considers the permanent Arctic sea ice cover as an integral steady-state ecological system.
This is the 3rd volume of a "Light Scattering Reviews" series devoted to current knowledge of light scattering problems and both experimental and theoretical research techniques related to their solution. This volume covers applications in remote sensing, inverse problems and geophysics, with a particular focus on terrestrial clouds. The influence of clouds on climate is poorly understood. The theoretical aspects of this problem constitute the main emphasis of this work.
This book contains the notes of five short courses delivered at the "Centro Internazionale Matematico Estivo" session "Integral Geometry, Radon Transforms and Complex Analysis" held in Venice (Italy) in June 1996: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share a stress on CR manifolds and related problems. All lectures are accessible to a wide audience, and provide self-contained introductions and short surveys on the subjects, as well as detailed expositions of selected results.
This will help us customize your experience to showcase the most relevant content to your age group
Please select from below
Login
Not registered?
Sign up
Already registered?
Success – Your message will goes here
We'd love to hear from you!
Thank you for visiting our website. Would you like to provide feedback on how we could improve your experience?
This site does not use any third party cookies with one exception — it uses cookies from Google to deliver its services and to analyze traffic.Learn More.