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This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In particular, the following are included: nonlinear conservation laws, semilinear elliptic equations, nonlinear hyperbolic equations, nonlinear parabolic equations, singular limit problems, and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems, and quantum field theory are also covered.
This volume is a collection of research papers on nonlinear partial differential equations and related areas, representing many aspects of the most recent developments in these important areas. In particular, the following are included: nonlinear conservation laws, semilinear elliptic equations, nonlinear hyperbolic equations, nonlinear parabolic equations, singular limit problems, and analysis of exact and numerical solutions. Important areas such as numerical analysis, relaxation theory, multiphase theory, kinetic theory, combustion theory, dynamical systems, and quantum field theory are also covered.
Chinese art has experienced its most profound metamorphosis since the early 1950s, transforming from humble realism to socialist realism, from revolutionary art to critical realism, then avant-garde movement, and globalized Chinese art. With a hybrid mix of Chinese philosophy, imported but revised Marxist ideology, and western humanities, Chinese artists have created an alternative approach – after a great ideological and aesthetic transition in the 1980s – toward its own contemporaneity though interacting and intertwining with the art of rest of the world. This book will investigate, from the perspective of an activist, critic, and historian who grew up prior to and participated in the great transition, and then researched and taught the subject, the evolution of Chinese art in modern and contemporary times. The volume will be a comprehensive and insightful history of the one of the most sophisticated and unparalleled artistic and cultural phenomena in the modern world.
In the framework of the "Annee non lineaire" (the special nonlinear year) sponsored by the C.N.R.S. (the French National Center for Scien tific Research), a meeting was held in Paris in June 1988. It took place in the Conference Hall of the Ministere de la Recherche and had as an organizing theme the topic of "Variational Problems." Nonlinear analysis has been one of the leading themes in mathemat ical research for the past decade. The use of direct variational methods has been particularly successful in understanding problems arising from physics and geometry. The growth of nonlinear analysis is largely due to the wealth of ap plications from various domains of sciences and industrial appli...
Focusing on Sobolev inequalities and their applications to analysis on manifolds and Ricci flow, Sobolev Inequalities, Heat Kernels under Ricci Flow, and the Poincare Conjecture introduces the field of analysis on Riemann manifolds and uses the tools of Sobolev imbedding and heat kernel estimates to study Ricci flows, especially with surgeries. The
This volume tackles the unique scholarly challenges of Cultural Interaction Studies in an East Asian context. Leading experts in a variety of related fields – from religion and history to geography, language, literature, Sinology and Japanology – have contributed a total of 18 articles, collected under the following six rubrics: "New Directions in Regional Studies", "New Trends in Humanities Studies", "Material Circulation and Cultural Transmission in East Asia", "China's Experience of Cultural Interaction with the West", "Transformation of Japanese Scholarship from Early Modern to Modern Times", and "The Wisdom of Selective Adaptation and Constructive Dialog". Among the eight award-winn...
Once a natural gas or oil well is drilled, and it has been verified that commercially viable, it must be "completed" to allow for the flow of petroleum or natural gas out of the formation and up to the surface. This process includes: casing, pressure and temperature evaluation, and the proper instillation of equipment to ensure an efficient flow out of the well. In recent years, these processes have been greatly enhanced by new technologies. Advanced Well Completion Engineering summarizes and explains these advances while providing expert advice for deploying these new breakthrough engineering systems. The book has two themes: one, the idea of preventing damage, and preventing formation from...
Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those results in a comprehensive, rigorous, and self-contained account of the fundamental results. The a