This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.
This volume presents a series of lectures given at the Winter School in Fluid Dynamics held in Paseky, Czech Republic in December 1993. Including original research and important new results, it contains a detailed investigation of some methods used towards the proof of global regularity for the Navier-Stokes equations. It also explores new formulations of the free-boundary in the dynamics of viscous fluids, and different methods for conservation laws in several space dimensions and related numerical schemes. The final contribution examines the existence and stability of non-isothermal compressible fluids and their relation with incompressible models.
This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.
This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.
This volume presents a series of lectures given at the Winter School in Fluid Dynamics held in Paseky, Czech Republic in December 1993. Including original research and important new results, it contains a detailed investigation of some methods used towards the proof of global regularity for the Navier-Stokes equations. It also explores new formulations of the free-boundary in the dynamics of viscous fluids, and different methods for conservation laws in several space dimensions and related numerical schemes. The final contribution examines the existence and stability of non-isothermal compressible fluids and their relation with incompressible models.
Preconditioning and the Conjugate Gradient Method in the Context of Solving PDEs?is about the interplay between modeling, analysis, discretization, matrix computation, and model reduction. The authors link PDE analysis, functional analysis, and calculus of variations with matrix iterative computation using Krylov subspace methods and address the challenges that arise during formulation of the mathematical model through to efficient numerical solution of the algebraic problem. The book?s central concept, preconditioning of the conjugate gradient method, is traditionally developed algebraically using the preconditioned finite-dimensional algebraic system. In this text, however, preconditioning is connected to the PDE analysis, and the infinite-dimensional formulation of the conjugate gradient method and its discretization and preconditioning are linked together. This text challenges commonly held views, addresses widespread misunderstandings, and formulates thought-provoking open questions for further research.?
This volume consists of four contributions based on a series of lectures delivered at the Fifth Winter School on Mathematical Theory in Fluid Mechanics, held in Paseky nad Jizerou, Czech Republic, from December 6-14, 1997.
In African Film: Re-imagining a Continent, Josef Gugler provides an introduction to African cinema through an analysis of 15 films made by African filmmakers. These directors set out to re-image Africa; their films offer Western viewers the opportunity to re-imagine the continent and its people. As a point of comparison, two additional films on Africa--one from Hollywood, the other from apartheid South Africa--serve to highlight African directors' altogether different perspectives. Gugler's interpretation considers the financial and technical difficulties of African film production, the intended audiences in Africa and the West, the constraints on distribution, and the critical reception of the films.
*A timely window on the world of Middle Eastern cinema, this remarkable overview includes many essays that provide the first scholarly analysis of significant works by key filmmakers in the region.
Consistently lauded for its comprehensiveness and full-color color presentation, the latest edition of Rheumatology by Marc C. Hochberg, MD, MPH et al. continues the tradition of excellence of previous editions. Designed to meet the needs of the practicing clinician, it provides extensive, authoritative coverage of rheumatic disease from basic scientific principles to practical points of clinical management in a lucid, logical, user-friendly manner. Find the critical answers you need quickly and easily thanks to a consistent, highly user-friendly format covering all major disorders of the musculoskeletal system in complete, self-contained chapters. Get trusted perspectives and insights from chapters co-authored by internationally renowned leaders in the field, 25% of whom are new to this edition. Track disease progression and treat patients more effectively with the most current information, including 22 new chapters on genetic findings, imaging outcomes, and cell and biologic therapies as well as rheumatoid arthritis and SLE. Incorporate the latest findings about pathogenesis of disease; imaging outcomes for specific diseases like RA, osteoarthritis, and spondyloarthropathies; cell and biologic therapies; and other timely topics.
A clergyman named Ronald A. Knox once set forth a set of rules for writing detective fiction. In ten new stories (two featuring Lieutenant Boruvka), a crime occurs that violates one of Father Knox's rules, thus serving up a double challenge: Who dunnit? and Which rule was broken?
The book is divided into two parts. The first part looks at the modeling of statistical systems before moving on to an analysis of these systems. This second edition contains new material on: estimators based on a probability distribution for the parameters; identification of stochastic models from observations; and statistical tests and classification methods.
Introduction -- Provenance and object history -- The block and its decoration -- The Aten cartouches and epithets -- Architectural inlay -- Reconstruction of the Meritaten Sunshade chapel -- The chapel of Meritaten and the Amarna period Sunshades -- The House-of-Waenre -- A Heliopolitan Horizon-of-the-Aten? -- Damnatio memoriae -- Ramesside reuse at Heliopolis -- Reuse of the Meritaten sunshade block in Islamic Cairo -- Conclusions
This book deals with the Kabbalah and also with Hebrew literature and poetry. The book also deals with modern issues of philosophy, Levinas and Heidegger, and the relationship between philosophy and Kabbalah"--back cover.
Comparative law of religions has developed in recent years as a new discipline at the intersection of legal and religious science, of theology and anthropology. This book presents a systematic theoretical basis for this new discipline. While law is mostly associated with the state, many religions also have their own internal law. These internal legal norms are aimed at a particular form of behaviour on the part of believers. They therefore play a particular role in conflicts arising today between certain religious forms of behaviour. The comparison of the internal law of religions serves to establish and explain the commonalities and differences between various religious legal traditions. The religions examined here include: the law of Christian denominations, Jewish law, Islamic law, Hindu law, Buddhist law, and other religious legal systems. The work assesses six current approaches to the comparative law of religions, evaluating their strengths and weaknesses, leading to the development of a new approach. The book discusses the role of religious law in state law and looks to likely future developments. The work will be essential for those interested in the administration of justice and politics, for those professions where intercultural competence is required, and for interreligious dialogue.
The landmark text that has guided generations of hematologists and related practitioners―updated with the latest research findings and improved format and presentation Long revered for its comprehensiveness and extraordinary depth of detail, Williams Hematology provides essential coverage of the origins, pathophysiological mechanisms, and management of benign and malignant disorders of blood and marrow cells and coagulation proteins. The text contains a wealth of basic science and translational pathophysiology for optimal, lifelong learning. Experts in research and clinical hematology, the editors are known worldwide for their contributions to the field. This new edition contains everything that has made Williams Hematology the go-to resource for decades and has been updated with new chapters and critical new research into the molecular mechanisms responsible for hematological disorders and the impact on diagnosis and treatment. And the new format enables you to access each chapter via content modules covering key topics, with summaries, infographics, and cases―all linked to review questions for self-assessment. The full-color presentation integrates images of blood and tissue findings where they are cited in the text. NEW TO THIS EDITION: Updated and revised content reflecting the latest research and developments Convenient format that streamlines the learning process and improves retention Additional chapters added on: Immune Checkpoint Inhibitors Immune Cell Therapy: Chimeric Antigen Receptor T Cell Therapy Immune Cell Therapy Dendritic Cell and Natural Killer Cell Therapy The processes of cell death and survival Application of Big Data and Deep Learning in Hematology Williams Hematology Cases with multiple-choice questions including detailed explanations—perfect preparation for the boards Continuously updated online content with comprehensive drug therapy database and other resources
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