Download or read book Boundary Field Equation Methods for a Class of Nonlinear Problems written by Gabriel N. Gatica and published by Halsted Press. This book was released on 1997-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Boundary field Equation Methods For a Class of Nonlinear Problems written by Gabriel N Gatica and published by CRC Press. This book was released on 1995-09-29 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.
Download or read book Energy Methods for Free Boundary Problems written by S.N. Antontsev and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.
Download or read book An Introduction to Nonlinear Boundary Value Problems written by Lakshmikantham and published by Academic Press. This book was released on 1974-05-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: A book on an advanced level that exposes the reader to the fascinating field of differential equations and provides a ready access to an up-to-date state of this art is of immense value. This book presents a variety of techniques that are employed in the theory of nonlinear boundary value problems. For example, the following are discussed: - methods that involve differential inequalities; - shooting and angular function techniques; - functional analytic approaches; - topological methods.
Download or read book IABEM Symposium on Boundary Integral Methods for Nonlinear Problems written by Luigi Morino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the IABEM Symposium held in Pontignano, Italy, May 28-June 3, 1995
Download or read book Integral Expansions Related to Mehler Fock Type Transforms written by B N Mandal and published by CRC Press. This book was released on 2020-11-26 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
Download or read book Complex Analysis and Geometry written by Vincenzo Ancona and published by CRC Press. This book was released on 1997-04-27 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.
Download or read book International Conference On Dynamical Systems written by F Ledrappier and published by CRC Press. This book was released on 1997-05-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov. This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.
Download or read book Integral Transforms Reproducing Kernels and Their Applications written by Saburou Saitoh and published by CRC Press. This book was released on 2020-11-26 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.
Download or read book Complex Analysis Harmonic Analysis and Applications written by Robert Deville and published by CRC Press. This book was released on 1996-04-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariable complex analysis and harmonic analysis provide efficient techniques to study many applied mathematical problems. The main objective of a conference held in Bordeaux in June 1995, in honour of Professor Roger Gay, was to connect these mathematical fields with some of their applications. This was also the guideline for the fourteen contributions collected in this volume. Besides presenting new results, each speaker made a substantial effort in order to present an up to date survey of his field of research. All the subjects presented here are very active domains of research: integral geometry (with its relation to X-ray tomography), classical harmonic analysis and orthogonal polynomials, pluricomplex potential theory (with its deep connection with polynomial approximation), complex analytic methods in the theory of partial differentiable operators with constant coefficients (in the spirit of those initiated by Leon Ehrenpreis), Calderon-Zygmund operators and nonlinear operators, oscillatory integrals and resonance, and finally multivariable residue theory in its most recent developments. It is hoped that the reader will find enough insight in the different survey papers presented here to become involved with one of these subjects or to pursue further applications.
Download or read book Rings and Radicals written by R. Wiegandt and published by CRC Press. This book was released on 1996-04-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.
Download or read book Numerical Analysis 1995 written by D.F. Griffiths and published by CRC Press. This book was released on 1996-04-11 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.
Download or read book Surveying a Dynamical System written by Khalid Alhumaizi and published by CRC Press. This book was released on 1996-05-15 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a dynamical system has a large number of parameters it is not possible to get a completely comprehensive picture of all the types of behavior that it may display and one must be content with surveying the system along various corridors of lower dimension. Using an example with three differential equations and six parameters it is shown how the available methods of singularity theory, bifurcation analysis, normal forms, etc. can be used to build up a picture of varied and interesting behavior. The model is a generalization of the Gray-Scott reaction scheme in a single stirred vessel to a two-phase reactor consisting of a reaction chamber and a reservoir communicating with each other through a semi-permeable membrane. Two forms exist according as to whether A is fed to the reactor and B to the reservoir or vice-versa, and show interesting differences of behavior. Both models undergo Hopf bifurcations, pitchfork transitions, have homoclinic orbits, take the period doubling route to chaos and one gets there by intermittency. Besides being of interest to mathematicians as an ecological study of a differentiable system, it is hoped that, though idealized, the fact that it corresponds closely to a real type of reactor will make it attractive to control engineers and others as a testing ground for their various methods and devices. This book will be of particular interest to students and researchers in mathematics and engineering , particularly those working in bifurcation or chaos theory.
Download or read book Integral Representations For Spatial Models of Mathematical Physics written by Vladislav V Kravchenko and published by CRC Press. This book was released on 2020-11-25 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a new mathematical theory for the treatment of an ample series of spatial problems of electrodynamics, particle physics, quantum mechanics and elasticity theory. This technique proves to be as powerful for solving the spatial problems of mathematical physics as complex analysis is for solving planar problems. The main analytic tool of the book, a non-harmonic version of hypercomplex analysis recently developed by the authors, is presented in detail. There are given applications of this theory to the boundary value problems of electrodynamics and elasticity theory as well as to the problem of quark confinement. A new approach to the linearization of special classes of the self-duality equation is also considered. Detailed proofs are given throughout. The book contains an extensive bibliography on closely related topics. This book will be of particular interest to academic and professional specialists and students in mathematics and physics who are interested in integral representations for partial differential equations. The book is self-contained and could be used as a main reference for special course seminars on the subject.
Download or read book Localization and Sheaves written by Jara Pascual and published by CRC Press. This book was released on 1995-11-30 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book completely solves the problem of representing rings (and modules over them), which are locally noetherian over subsets of their prime spectrum by structure sheaves over this subset. In order to realise this, one has to develop the necessary localization theory as well as to study local equivalents of familiar concepts like the Artin-Rees property, Ore sets and the second layer condition. The first part of the book is introductory and self-contained, and might serve as a starting course (at graduate level) on localization theory within Grothendieck categories. The second part is more specialised and provides the basic machinery needed to effectively these structure sheaves, as well as to study their functorial behaviour. In this way, the book should be viewed as a first introduction to what should be called relative noncommutative algebraic geometry.
Download or read book Topological Circle Planes and Topological Quadrangles written by Andreas E Schroth and published by CRC Press. This book was released on 1995-11-03 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research note presents a complete treatment of the connection between topological circle planes and topological generalized quadrangles. The author uses this connection to provide a better understanding of the relationships between different types of circle planes and to solve a topological version of the problem of Apollonius. Topological Circle Planes and Topological Quadrangles begins with a foundation in classical circle planes and the real symmetric generalized quadrangle and the connection between them. This provides a solid base from which the author offers a more generalized exploration of the topological case. He also compares this treatment to the finite case. Subsequent chapters examine Laguerre, Möbius, and Minkowski planes and their respective relationships to antiregular quadrangles. The author addresses the Lie geometry of each and discuss the relationships of circle planes-the "sisters" of Möbius, Laguerre, and Minkowski planes - and concludes by solving a topological version of the problem of Apollonius in Laguerre, Möbius, and Minkowski planes. The treatment offered in this volume offers complete coverage of the topic. The first part of the text is accessible to anyone with a background in analytic geometry, while the second part requires basic knowledge in general and algebraic topology. Researchers interested in geometry-particularly in topological geometry-will find this volume intriguing and informative. Most of the results presented are new and can be applied to various problems in the field of topological circle planes. Features
Download or read book Developments in Nonstandard Mathematics written by Nigel J Cutland and published by CRC Press. This book was released on 2020-01-30 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994. Nonstandard mathematics originated with Abraham Robinson, and the body of ideas that have developed from this theory of nonstandard analysis now vastly extends Robinson's work with infinitesimals. The range of applications includes measure and probability theory, stochastic analysis, differential equations, generalised functions, mathematical physics and differential geometry, moreover, the theory has implicaitons for the teaching of calculus and analysis. This volume contains papers touching on all of the abovbe topics, as well as a biographical note about Abraham Robinson based on the opening address given by W.A>J> Luxemburg - who knew Robinson - to the Aveiro conference which marked the 20th anniversary of Robinson's death. This book will be of particular interest to students and researchers in nonstandard analysis, measure theory, generalised functions and mathematical physics.
