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Author: P.G. Bakker
Publisher: Springer Science & Business Media
ISBN: 9401135126
Category : Science
Languages : en
Pages : 221
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Book Description
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Author: P.G. Bakker
Publisher: Springer Science & Business Media
ISBN: 9401135126
Category : Science
Languages : en
Pages : 221
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Book Description
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Author: Dirk Roose
Publisher: Springer Science & Business Media
ISBN: 9400906595
Category : Mathematics
Languages : en
Pages : 415
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Book Description
Proceedings of the NATO Advanced Research Workshop, Leuven, Belgium, September 18-22, 1989
Author: Colin G. Caro
Publisher: Springer
ISBN: 1475794711
Category : Science
Languages : en
Pages : 369
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Book Description
Biomechanics has a distinguished history extending at least to the 16th Century. However the later half oftbis century has seen an explosion ofthe field with it being viewed as affering exciting challenges for physical scientists and engineers interested in the life sciences, and wonderful opportunities for life scientists eager to collaborate with physical scientists and engineers and to render their scientific work more fundamental. That the field is now weil established and expanding is demonstrated by the formation of a World Committee for Biomechanics and the success and large participation in the 1st and 2nd World Congresses of Biomechanics, held respectively in San Diego in 1990 and in Amsterdam in 1994. With more than 1350 scientific papers delivered at the 2nd World Congress, either within symposia or oral or poster sessions, it would have been out of the question to try to produce comprehensive edited proceedings. Moreover, we are confident that most of the papers have been or will be published in one ofthe excellentjoumals covering the field. But of effort contributed by the plenary lecturers and the tutorial we thought that the large amount and keynote speakers of various symposia deserved tobe recognised in the form of a specific publication, thus also allowing those unable to attend the presentatiops . . tC\ sh?r~ in the findings. Furthermore, we feel that there is now a need to review aspects 'oftlie freld.
Author: Jorge Buescu
Publisher: Birkhäuser
ISBN: 3034879822
Category : Mathematics
Languages : en
Pages : 215
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Book Description
The latest developments on both the theory and applications of bifurcations with symmetry. The text includes recent experimental work as well as new approaches to and applications of the theory to other sciences. It shows the range of dissemination of the work of Martin Golubitsky and Ian Stewart and its influence in modern mathematics at the same time as it contains work of young mathematicians in new directions. The range of topics includes mathematical biology, pattern formation, ergodic theory, normal forms, one-dimensional dynamics and symmetric dynamics.
Author: Shouhong Wang
Publisher: World Scientific
ISBN: 9814480592
Category : Science
Languages : en
Pages : 391
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Book Description
This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics.The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation.With this new notion of bifurcation, many longstanding bifurcation problems in science and engineering are becoming accessible, and are treated in the second part of the book. In particular, applications are covered for a variety of PDEs from science and engineering, including the Kuramoto-Sivashinsky equation, the Cahn-Hillard equation, the Ginzburg-Landau equation, reaction-diffusion equations in biology and chemistry, the Benard convection problem, and the Taylor problem. The applications provide, on the one hand, general recipes for other applications of the theory addressed in this book, and on the other, full classifications of the bifurcated attractor and the global attractor as the control parameters cross certain critical values, dictated usually by the eigenvalues of the linearized problems. It is expected that the book will greatly advance the study of nonlinear dynamics for many problems in science and engineering.
Author: Rita Meyer-Spasche
Publisher: Birkhäuser
ISBN: 3034887094
Category : Science
Languages : en
Pages : 221
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Book Description
The Taylor-Couette system is one of the most studied examples of fluid flow exhibiting the spontaneous formation of dynamical structures. In this book, the variety of time independent solutions with periodic spatial structure is numerically investigated by solution of the Navier-Stokes equations.
Author: Warren H. Finlay
Publisher: Academic Press
ISBN: 9780122569715
Category : Medical
Languages : en
Pages : 328
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Book Description
The Mechanics of Inhaled Pharmaceutical Aerosols, An Introduction provides a unique and comprehensive treatment of the mechanics of inhaled pharmaceutical aerosols. The book covers a wide range of topics and many new perspectives are given by drawing on research from a variety of fields. Novel, in-depth expositions of the most common delivery devices are given, including nebulizers, dry powder inhalers and propellant metered dose inhalers. The behaviour of aerosols in the respiratory tract is explained in detail, with complete coverage of the fundamentals of current deposition models. The book begins by providing a comprehensive introduction to aspects of aerosol mechanics that are relevant to inhaled pharmaceutical aerosols. It then gives an exhaustive pedagogical description of the behaviour of evaporating and condensing droplets (both aqueous and propellant-based), an introductory chapter on lung geometry and inhalation patterns, and coverage of relevant aspects of fluid mechanics in the lung. Finally, the book provides invaluable, detailed coverage on the mechanics of common pharmaceutical aerosol delivery systems and deposition in the respiratory tract. Throughout the book are many detailed numerical examples that apply the salient concepts to typical inhaled pharmaceutical aerosols. This book will be of interest to scientists and engineers involved in the research and development of inhaled pharmaceutical aerosol products. Experienced practitioners will find many new perspectives that will greatly enhance their understanding of this complex and rapidly growing field. For those delivering therapeutic agents to the lung, this book is a must-have. Students and academics will find this book an invaluable tool and for newcomers it is a worthy guide to the diverse fields that must be understood to work in the area of inhaled pharmaceutical aerosols.
Author: V. Lakshmikantham
Publisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
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Book Description
Author: Robert N.N. Holtzman
Publisher: Springer Science & Business Media
ISBN: 1461224640
Category : Medical
Languages : en
Pages : 456
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Book Description
Endovascular Interventional Neuroradiology is comprised of selected papers from the prestigious "Stonwin Medical" "Conference," which each summer invites a group of internationally prominent neuroscientists, bioengineers, neurosurgeons, and radiologists to explore and discuss selected topics of neurosurgical investigation. This volume addresses recent advances in endovascular approaches to cerebral circulation, including: Surgical exposure of the superior ophthalmic vein in the management of carotid cavernous fistulas at Johns Hopkins; Current and future perspectives in interventional neuroradiology at New York University; Interventional neuroradiology; Principles of endovascular neurosurgery: N.N. Burdenko Neurosurgical Institute; Intravascular embolization of craniocerebral vascular diseases: Beijing Neurosurgical Institute; and more.
Author: Chiu-sen Wang
Publisher: Elsevier
ISBN: 0080455018
Category : Technology & Engineering
Languages : en
Pages : 214
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Book Description
Inhaled Particles integrates all that is known about inhaled particles in a unified treatment. It aims to provide a scientific framework essential to a reasonable understanding of inhaled particles. The emphasis is placed on demonstrating the key roles of lung morphology on airflow and particle transport as well as identifying physical and biological factors that influence deposition. Special attention is paid to maintaining consistency of treatment and a balance between theoretical modeling and experimental measurements. The book covers all important aspects of inhaled particles including inhalability, aerosol dispersion, particle deposition, and clearance. It reviews concisely the basic background of lung morphology, respiratory physiology, aerodynamics, and aerosol science pertinent to the subject. Essential aspects of health effects and applications are also included. An easy-to-read, self contained introduction to the field An excellent source of updated research information Useful for students and professionals in aerosol science, environmental health science, occupational hygiene, health physics and biomedical engineering
