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Author : Brian Straughan
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by . This book was released on 1992 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brian Straughan
Publisher : Springer Science & Business Media
ISBN 13 : 1475721943
Total Pages : 254 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Energy Method, Stability, and Nonlinear Convection written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
Author : S.N. Antontsev
Publisher : Springer Science & Business Media
ISBN 13 : 9400903375
Total Pages : 180 pages
Book Rating : 4.4/5 (9 download)
Download or read book Energy Methods in Continuum Mechanics written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop Energy Methods for Free Boundary Problems in Continuum Mechanics, held in Oviedo, Spain, from March 21 to March 23, 1994. It is well known that the conservation laws and the constitutive equations of Continuum Mechanics lead to complicated coupled systems of partial differential equations to which, as a rule, one fails to apply the techniques usually employed in the studies of scalar uncoupled equations such as, for instance, the maximum principle. The study of the qualitative behaviour of solutions of the systems re quires different techniques, among others, the so called, Energy Methods where the properties of some integral of a nonnegative function of one or several unknowns allow one to arrive at important conclusions on the envolved unknowns. This vol ume presents the state of the art in such a technique. A special attention is paid to the class of Free Boundary Problems. The organizers are pleased to thank the European Science Foundation (Pro gram on Mathematical treatment of free boundary problems), the DGICYT (Spain), the FICYT (Principado de Asturias, Spain) and the Universities of Oviedo and Complutense de Madrid for their generous financial support. Finally, we wish to thank Kluwer Academic Publishers for the facilities received for the publication of these Proceedings.
Author : Roberto Monaco
Publisher : World Scientific
ISBN 13 : 9814474002
Total Pages : 619 pages
Book Rating : 4.8/5 (144 download)
Download or read book Waves And Stability In Continuous Media - Proceedings Of The 14th Conference On Wascom 2007 written by Roberto Monaco and published by World Scientific. This book was released on 2008-04-17 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the fifth in a series of proceedings which started in 1999. The contributions include the latest results on the theory of wave propagation, extended thermodynamics, and the stability of the solutions to partial differential equations.
Author : J.K. Kevorkian
Publisher : Springer Science & Business Media
ISBN 13 : 1461239680
Total Pages : 642 pages
Book Rating : 4.4/5 (612 download)
Download or read book Multiple Scale and Singular Perturbation Methods written by J.K. Kevorkian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version, including a substantial portion of new material, of our text Perturbation Methods in Applied Mathematics (Springer Verlag, 1981). We present the material at a level that assumes some familiarity with the basics of ordinary and partial differential equations. Some of the more advanced ideas are reviewed as needed; therefore this book can serve as a text in either an advanced undergraduate course or a graduate-level course on the subject. Perturbation methods, first used by astronomers to predict the effects of small disturbances on the nominal motions of celestial bodies, have now become widely used analytical tools in virtually all branches of science. A problem lends itself to perturbation analysis if it is "close" to a simpler problem that can be solved exactly. Typically, this closeness is measured by the occurrence of a small dimensionless parameter, E, in the governing system (consisting of differential equations and boundary conditions) so that for E = 0 the resulting system is exactly solvable. The main mathematical tool used is asymptotic expansion with respect to a suitable asymptotic sequence of functions of E. In a regular perturbation problem, a straightforward procedure leads to a system of differential equations and boundary conditions for each term in the asymptotic expansion. This system can be solved recursively, and the accuracy of the result improves as E gets smaller, for all values of the independent variables throughout the domain of interest. We discuss regular perturbation problems in the first chapter.
Author : J N Flavin
Publisher : CRC Press
ISBN 13 : 100014237X
Total Pages : 390 pages
Book Rating : 4.0/5 (1 download)
Download or read book Qualitative Estimates For Partial Differential Equations written by J N Flavin and published by CRC Press. This book was released on 2020-12-18 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry. The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research. Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.
Author : Roger Peyret
Publisher : Springer Science & Business Media
ISBN 13 : 9780387952215
Total Pages : 452 pages
Book Rating : 4.9/5 (522 download)
Download or read book Spectral Methods for Incompressible Viscous Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2002-03-28 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
Author : Roberto Monaco
Publisher : World Scientific
ISBN 13 : 9812772340
Total Pages : 619 pages
Book Rating : 4.8/5 (127 download)
Download or read book Proceedings "WASCOM 2007", 14th Conference on Waves and Stability in Continuous Media written by Roberto Monaco and published by World Scientific. This book was released on 2008 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the fifth in a series of proceedings which started in 1999. The contributions include the latest results on the theory of wave propagation, extended thermodynamics, and the stability of the solutions to partial differential equations.
Author : Anatoli V. Skorokhod
Publisher : Springer Science & Business Media
ISBN 13 : 0387224467
Total Pages : 500 pages
Book Rating : 4.3/5 (872 download)
Download or read book Random Perturbation Methods with Applications in Science and Engineering written by Anatoli V. Skorokhod and published by Springer Science & Business Media. This book was released on 2007-06-21 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops methods for describing random dynamical systems, and it illustrats how the methods can be used in a variety of applications. Appeals to researchers and graduate students who require tools to investigate stochastic systems.
Author : Henk A. Dijkstra
Publisher : Cambridge University Press
ISBN 13 : 1108852521
Total Pages : 343 pages
Book Rating : 4.1/5 (88 download)
Download or read book Bifurcation Analysis of Fluid Flows written by Henk A. Dijkstra and published by Cambridge University Press. This book was released on 2023-06-30 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of these numerical methods, with much attention to modern linear systems solvers and generalized eigenvalue solvers. These methods also have a broad applicability in industrial, environmental and astrophysical flows. The book is a must-have reference for anyone working in scientific fields where fluid flow instabilities play a role. Exercises at the end of each chapter and Python code for the bifurcation analysis of canonical fluid flow problems provide practice material to get to grips with the methods and concepts presented in the book.
Author : M. G. Velarde
Publisher : Springer
ISBN 13 : 3709125502
Total Pages : 287 pages
Book Rating : 4.7/5 (91 download)
Download or read book Interfacial Phenomena and the Marangoni Effect written by M. G. Velarde and published by Springer. This book was released on 2014-05-04 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marangoni (1878), provided a wealth of detailed information on the effects of variations of the potential energy of liquid surfaces and, in particular, flow arising from variations in temperature and surfactant composition. One aspect of this science is seen today to bear on important phenomena associated with the processing of modern materials. The role of the basic effect in technology was probably first demonstrated by chemical engineers in the field of liquid-liquid extraction. Indeed, phenomena attributable to Marangoni flows have been reported in innumerable instances relevant to modern technologies, such as in hot salt corrosion in aeroturbine blades; the drying of solvent-containing paints; the drying of silicon wafers used in electronics; in materials processing, particularly in metallic systems which have been suspected to demonstrate Marangoni flows.
Author : Donald A. Drew
Publisher : Springer Science & Business Media
ISBN 13 : 0387226370
Total Pages : 311 pages
Book Rating : 4.3/5 (872 download)
Download or read book Theory of Multicomponent Fluids written by Donald A. Drew and published by Springer Science & Business Media. This book was released on 2006-05-10 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.
Author : Yuri Kuznetsov
Publisher : Springer Science & Business Media
ISBN 13 : 0387227105
Total Pages : 610 pages
Book Rating : 4.3/5 (872 download)
Download or read book Elements of Applied Bifurcation Theory written by Yuri Kuznetsov and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical results to particular problems, the focus here is on efficient numerical implementations of the developed techniques. The book is designed for advanced undergraduates or graduates in applied mathematics, as well as for Ph.D. students and researchers in physics, biology, engineering, and economics who use dynamical systems as model tools in their studies. A moderate mathematical background is assumed, and, whenever possible, only elementary mathematical tools are used. This new edition preserves the structure of the first while updating the context to incorporate recent theoretical developments, in particular new and improved numerical methods for bifurcation analysis.
Author : Andreas Kirsch
Publisher : Springer Science & Business Media
ISBN 13 : 9780387945309
Total Pages : 304 pages
Book Rating : 4.9/5 (453 download)
Download or read book An Introduction to the Mathematical Theory of Inverse Problems written by Andreas Kirsch and published by Springer Science & Business Media. This book was released on 1996-09-26 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following Keller [119] we call two problems inverse to each other if the for mulation of each of them requires full or partial knowledge of the other. By this definition, it is obviously arbitrary which of the two problems we call the direct and which we call the inverse problem. But usually, one of the problems has been studied earlier and, perhaps, in more detail. This one is usually called the direct problem, whereas the other is the inverse problem. However, there is often another, more important difference between these two problems. Hadamard (see [91]) introduced the concept of a well-posed problem, originating from the philosophy that the mathematical model of a physical problem has to have the properties of uniqueness, existence, and stability of the solution. If one of the properties fails to hold, he called the problem ill-posed. It turns out that many interesting and important inverse in science lead to ill-posed problems, while the corresponding di problems rect problems are well-posed. Often, existence and uniqueness can be forced by enlarging or reducing the solution space (the space of "models"). For restoring stability, however, one has to change the topology of the spaces, which is in many cases impossible because of the presence of measurement errors. At first glance, it seems to be impossible to compute the solution of a problem numerically if the solution of the problem does not depend continuously on the data, i. e. , for the case of ill-posed problems.
Author : Jianhong Wu
Publisher : Springer Science & Business Media
ISBN 13 : 1461240506
Total Pages : 441 pages
Book Rating : 4.4/5 (612 download)
Download or read book Theory and Applications of Partial Functional Differential Equations written by Jianhong Wu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract semilinear functional differential equations arise from many biological, chemical, and physical systems which are characterized by both spatial and temporal variables and exhibit various spatio-temporal patterns. The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.
Author : S. Rionero
Publisher : Springer Science & Business Media
ISBN 13 : 8847003547
Total Pages : 305 pages
Book Rating : 4.8/5 (47 download)
Download or read book Trend and Applications of Mathematics to Mechanics written by S. Rionero and published by Springer Science & Business Media. This book was released on 2006-09-11 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a collection of recent theoretical and methodological advances which can provide support and stimulus to scientists and scholars involved in research activity in the fields of interest.
Author : Martin Golubitsky
Publisher : Springer Science & Business Media
ISBN 13 : 146125034X
Total Pages : 480 pages
Book Rating : 4.4/5 (612 download)
Download or read book Singularities and Groups in Bifurcation Theory written by Martin Golubitsky and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob lems and we hope to convert the reader to this view. In this preface we will discuss what we feel are the strengths of the singularity theory approach. This discussion then Ieads naturally into a discussion of the contents of the book and the prerequisites for reading it. Let us emphasize that our principal contribution in this area has been to apply pre-existing techniques from singularity theory, especially unfolding theory and classification theory, to bifurcation problems. Many ofthe ideas in this part of singularity theory were originally proposed by Rene Thom; the subject was then developed rigorously by John Matherand extended by V. I. Arnold. In applying this material to bifurcation problems, we were greatly encouraged by how weil the mathematical ideas of singularity theory meshed with the questions addressed by bifurcation theory. Concerning our title, Singularities and Groups in Bifurcation Theory, it should be mentioned that the present text is the first volume in a two-volume sequence. In this volume our emphasis is on singularity theory, with group theory playing a subordinate role. In Volume II the emphasis will be more balanced. Having made these remarks, Iet us set the context for the discussion of the strengths of the singularity theory approach to bifurcation. As we use the term, bifurcation theory is the study of equations with multiple solutions.
