This book summarizes the main advances in the field of nonlinear evolution and pattern formation caused by longwave instabilities in fluids. It will allow readers to master the multiscale asymptotic methods and become familiar with applications of these methods in a variety of physical problems. Longwave instabilities are inherent to a variety of systems in fluid dynamics, geophysics, electrodynamics, biophysics, and many others. The techniques of the derivation of longwave amplitude equations, as well as the analysis of numerous nonlinear equations, are discussed throughout. This book will be of value to researchers and graduate students in applied mathematics, physics, and engineering, in particular within the fields of fluid mechanics, heat and mass transfer theory, and nonlinear dynamics.
Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor. This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The "teaching-by-examples" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses. Highlights: Offers a complete first course on PDEs The text’s flexible structure promotes varied syllabi for courses Written with a teach-by-example approach which offers numerous examples and applications Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions The text’s graphical material makes excellent use of modern software packages Features numerous examples and applications which are suitable for readers studying the subject remotely or independently
The textbook presents a rather unique combination of topics in ODEs, examples and presentation style. The primary intended audience is undergraduate (2nd, 3rd, or 4th year) students in engineering and science (physics, biology, economics). The needed pre-requisite is a mastery of single-variable calculus. A wealth of included topics allows using the textbook in up to three sequential, one-semester ODE courses. Presentation emphasizes the development of practical solution skills by including a very large number of in-text examples and end-of-section exercises. All in-text examples, be they of a mathematical nature or a real-world examples, are fully solved, and the solution logic and flow are explained. Even advanced topics are presented in the same undergraduate-friendly style as the rest of the textbook. Completely optional interactive laboratory-type software is included with the textbook. Email Mikhail.Khenner@wku.edu with proof of textbook purchase to request access to optional software download.
Interfacial Phenomena and Convection is a self-contained monograph that examines a rich variety of phenomena in which interfaces play a crucial role. From a unified perspective that embraces physical chemistry, fluid mechanics, and applied mathematics, the authors study recent developments related to the Marangoni effect, including patterned convection and instabilities, oscillatory/wavy phenomena, and turbulent phenomena. They examine Benard layers subjected to transverse and longitudinal thermal gradients and phenomena involving surface tension gradients as the driving forces, including falling films, drops, and liquid bridges.
Interfacial phenomena driven by heat or mass transfer are widespread in science and various branches of engineering. Research in this area has become quite active in recent years, attributable in part, at least, to the entry of physicists and their sophisticated experimental techniques into the field. Until now, however, the field has lacked a readable account of the recent developments. Interfacial Phenomena and Convection remedies this problem by furnishing a self-contained monograph that examines a rich variety of phenomena in which interfaces pay a crucial role. From a unified perspective that embraces physical chemistry, fluid mechanics, and applied mathematics, the authors study recent developments related to the Marangoni effect, including patterned convection and instabilities, oscillatory/wavy phenomena, and turbulent phenomena. They examine Bénard layers subjected to transverse and longitudinal thermal gradients and phenomena involving surface tension gradients as the driving forces, including falling films, drops, and liquid bridges. It is only in the past two or three decades that researchers have performed suitable, clear-cut experiments involving interfacial phenomena, and the stage is now set for a virtual explosion of the field. Interfacial Phenomena and Convection will bring you quickly up to date on the advances realized and prepare you to both use the results and to make further advances.
WINNER OF THE READ RUSSIA PRIZE 2020 Alexander Pushkin established what we know as Russian literature. This collection includes his strongly personal lyric verse, which springs spontaneously from his everyday life - his numerous loves, his exile, his hectic life in St Petersburg - while the narrative poems here, from exotic Southern tales to comic parodies and fairy tales of enchanted tsars, display his endless ability to surprise. His landmark work The Bronze Horseman, with its ghostly central figure of Peter the Great, holds the meaning of all Russian history. Antony Wood's translations reveal the variety, inventiveness and perfection of Pushkin's verse.
From the award-winning translators: the complete prose narratives of the most acclaimed Russian writer of the Romantic era and one of the world's greatest storytellers. The father of Russian literature, Pushkin is beloved not only for his poetry but also for his brilliant stories, which range from dramatic tales of love, obsession, and betrayal to dark fables and sparkling comic masterpieces, from satirical epistolary tales and romantic adventures in the manner of Sir Walter Scott to imaginative historical fiction and the haunting dreamworld of "The Queen of Spades." The five short stories of The Late Tales of Ivan Petrovich Belkin are lightly humorous and yet reveal astonishing human depths, and his short novel, The Captain's Daughter, has been called the most perfect book in Russian literature.
While trying to revive Jewish national life by teaching Hebrew and Judaism in the Soviet Union, Ephraim Kholmyansky is arrested and threatened with long years of imprisonment and exile. In response, he declares a hunger strike. Supporters throughout the world rally to pressure the Soviet government to release him. A race against time begins... Ephraim Kholmyansky was born in Moscow in 1950. In 1979, he initiated an underground network for dissemination of Hebrew, Jewish tradition and Zionist values throughout the peripheral cities of the USSR. He was arrested in 1984 when the KGB planted weapons in his apartment in order to stage a show trial and intimidate Jewish activists. Kholmyansky held a prolonged hunger strike while kept in prison. Thanks to his hunger strike and major international solidarity campaign, he received a relatively short sentence. This is an exceedingly rare case of victory over the KGB. This book documents this trying episode of his life and provides a unique perspective from inside the USSR.
Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.
Newly translated, unfinished works about power, class conflict, and artistic inspiration by Russia's greatest poet. Alexander Pushkin, Russia’s foundational writer, was constantly experimenting with new genres, and this fresh selection ushers readers into his creative laboratory. Politics and history weighed heavily on Pushkin’s imagination, and in “Peter the Great’s African” he depicts the Tsar through the eyes of one of his closest confidantes, Ibrahim, a former slave, modeled on Pushkin’s maternal great-grandfather. At once outsider and insider, Ibrahim offers a sympathetic yet questioning view of Peter’s attempt to integrate his vast, archaic empire into Europe. In the witty “History of the Village of Goriukhino” Pushkin employs parody and self-parody to explore problems of writing history, while “Dubrovsky” is both a gripping adventure story and a vivid picture of provincial Russia in the late eighteenth century, with its class conflicts ready to boil over in violence. “The Egyptian Nights,” an effervescent mixture of prose and poetry, reflects on the nature of artistic inspiration and the problem of the poet’s place in a rapidly changing and ever more commercialized society.
This book examines the impact of states and their policies on visual art. States shape the role of art and artists in society, influence the development of audiences, support artistic work, and even affect the very nature of artistic production. The book contrasts developments in the United States with art policies in Britain and in the social democratic states of Norway and Sweden. In addition, it analyzes revealing transitions - the changes brought about in East Germany after unification and the experiences of artists who left the Soviet Union for the west. The result is a significant contribution to the sociology and the political economy of art.
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