Download or read book Linear and Quasilinear Parabolic Systems Sobolev Space Theory written by David Hoff and published by American Mathematical Soc.. This book was released on 2020-11-18 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic theory of weak solutions in Hilbert-Sobolev spaces of initial-boundary value problems for parabolic systems of partial differential equations with general essential and natural boundary conditions and minimal hypotheses on coefficients. Applications to quasilinear systems are given, including local existence for large data, global existence near an attractor, the Leray and Hopf theorems for the Navier-Stokes equations and results concerning invariant regions. Supplementary material is provided, including a self-contained treatment of the calculus of Sobolev functions on the boundaries of Lipschitz domains and a thorough discussion of measurability considerations for elements of Bochner-Sobolev spaces. This book will be particularly useful both for researchers requiring accessible and broadly applicable formulations of standard results as well as for students preparing for research in applied analysis. Readers should be familiar with the basic facts of measure theory and functional analysis, including weak derivatives and Sobolev spaces. Prior work in partial differential equations is helpful but not required.
Download or read book Traveling Wave Solutions of Parabolic Systems written by A. I. Volpert and published by American Mathematical Soc.. This book was released on with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of travelling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a general picture of current results about wave solutions of parabolic systems, their existence, stability, and bifurcations. With introductory material accessible to non-mathematicians and a nearly complete bibliography of about 500 references, this book is an excellent resource on the subject.
Download or read book Nonlinear Parabolic Hyperbolic Coupled Systems and Their Attractors written by Yuming Qin and published by Springer Science & Business Media. This book was released on 2008-11-25 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Download or read book Adaptive Multilevel Solution of Nonlinear Parabolic PDE Systems written by Jens Lang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays there is an increasing emphasis on all aspects of adaptively gener ating a grid that evolves with the solution of a PDE. Another challenge is to develop efficient higher-order one-step integration methods which can handle very stiff equations and which allow us to accommodate a spatial grid in each time step without any specific difficulties. In this monograph a combination of both error-controlled grid refinement and one-step methods of Rosenbrock-type is presented. It is my intention to impart the beauty and complexity found in the theoretical investigation of the adaptive algorithm proposed here, in its realization and in solving non-trivial complex problems. I hope that this method will find many more interesting applications. Berlin-Dahlem, May 2000 Jens Lang Acknowledgements I have looked forward to writing this section since it is a pleasure for me to thank all friends who made this work possible and provided valuable input. I would like to express my gratitude to Peter Deuflhard for giving me the oppor tunity to work in the field of Scientific Computing. I have benefited immensly from his help to get the right perspectives, and from his continuous encourage ment and support over several years. He certainly will forgive me the use of Rosenbrock methods rather than extrapolation methods to integrate in time.
Download or read book Nonlinear Parabolic and Elliptic Equations written by C.V. Pao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt: In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students.
Download or read book Recent Progress on Reaction diffusion Systems and Viscosity Solutions written by Yihong Du and published by World Scientific. This book was released on 2009 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of survey and research articles expanding on the theme of the OC International Conference on Reaction-Diffusion Systems and Viscosity SolutionsOCO, held at Providence University, Taiwan, during January 3OCo6, 2007. It is a carefully selected collection of articles representing the recent progress of some important areas of nonlinear partial differential equations. The book is aimed for researchers and postgraduate students who want to learn about or follow some of the current research topics in nonlinear partial differential equations. The contributors consist of international experts and some participants of the conference, including Nils Ackermann (Mexico), Chao-Nien Chen (Taiwan), Yihong Du (Australia), Alberto Farina (France), Hitoshi Ishii (Japan), N Ishimura (Japan), Shigeaki Koike (Japan), Chu-Pin Lo (Taiwan), Peter Polacik (USA), Kunimochi Sakamoto (Japan), Richard Tsai (USA), Mingxin Wang (China), Yoshio Yamada (Japan), Eiji Yanagida (Japan), and Xiao-Qiang Zhao (Canada).
Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002-08-20 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.
Download or read book Recent Advances in Modeling Analysis and Systems Control Theoretical Aspects and Applications written by El Hassan Zerrik and published by Springer Nature. This book was released on 2019-08-26 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes recent developments in a wide range of areas, including the modeling, analysis and control of dynamical systems, and explores related applications. The book provided a forum where researchers have shared their ideas, results on theory, and experiments in application problems. The current literature devoted to dynamical systems is quite large, and the authors’ choice for the considered topics was motivated by the following considerations. Firstly, the mathematical jargon for systems theory remains quite complex and the authors feel strongly that they have to maintain connections between the people of this research field. Secondly, dynamical systems cover a wider range of applications, including engineering, life sciences and environment. The authors consider that the book is an important contribution to the state of the art in the fuzzy and dynamical systems areas.
Download or read book Monotone Dynamical Systems An Introduction to the Theory of Competitive and Cooperative Systems written by Hal L. Smith and published by American Mathematical Soc.. This book was released on 1995 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents comprehensive treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and cooperative differential equations. The primary aim is to provide potential users of the theory with techniques, results, and ideas useful in applications, while at the same time providing rigorous proofs. Among the topics discussed in the book are continuous-time monotone dynamical systems, and quasimonotone and nonquasimonotone delay differential equations. The book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout the book, applications of the theory to many mathematical models arising in biology are discussed. Requiring a background in dynamical systems at the level of a first graduate course, this book is useful to graduate students and researchers working in the theory of dynamical systems and its applications.
Download or read book Ill Posed Boundary Value Problems written by Serikkali E. Temirbolat and published by Walter de Gruyter. This book was released on 2012-06-04 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph extends well-known facts to new classes of problems and works out novel approaches to the solution of these problems. It is devoted to the questions of ill-posed boundary-value problems for systems of various types of the first-order differential equations with constant coefficients and the methods for their solution.
Download or read book Proceedings of the St Petersburg Mathematical Society Volume XV written by Darya Apushkinskaya and published by American Mathematical Society. This book was released on 2014-08-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the international workshop, "Advances in Mathematical Analysis of Partial Differential Equations" held at the Institut Mittag-Leffler, Stockholm, Sweden, July 9-13, 2012, dedicated to the memory of the outstanding Russian mathematician Olga A. Ladyzhenskaya. The volume contains papers that engage a wide set of modern topics in the theory of linear and nonlinear partial differential equations and applications, including variational and free boundary problems, mathematical problems of hydrodynamics, and magneto-geostrophic equations.
Download or read book I G Petrovskii Selected Wrks P written by Olga Oleinik and published by Taylor & Francis. This book was released on 2023-05-31 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the major works of Ivan Georgievich Petrowsky on systems of partial differential equations and algebraic geometry. The articles are of crucial importance for the topology of real algebraic manifolds and are the source of intensive development of theory of real algebraic manifolds.
Download or read book Trading for a Living written by Alexander Elder and published by John Wiley & Sons. This book was released on 1993-03-22 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trading for a Living Successful trading is based on three M's: Mind, Method, and Money. Trading for a Living helps you master all of those three areas: * How to become a cool, calm, and collected trader * How to profit from reading the behavior of the market crowd * How to use a computer to find good trades * How to develop a powerful trading system * How to find the trades with the best odds of success * How to find entry and exit points, set stops, and take profits Trading for a Living helps you discipline your Mind, shows you the Methods for trading the markets, and shows you how to manage Money in your trading accounts so that no string of losses can kick you out of the game. To help you profit even more from the ideas in Trading for a Living, look for the companion volume--Study Guide for Trading for a Living. It asks over 200 multiple-choice questions, with answers and 11 rating scales for sharpening your trading skills. For example: Question Markets rise when * there are more buyers than sellers * buyers are more aggressive than sellers * sellers are afraid and demand a premium * more shares or contracts are bought than sold * I and II * II and III * II and IV * III and IV Answer B. II and III. Every change in price reflects what happens in the battle between bulls and bears. Markets rise when bulls feel more strongly than bears. They rally when buyers are confident and sellers demand a premium for participating in the game that is going against them. There is a buyer and a seller behind every transaction. The number of stocks or futures bought and sold is equal by definition.
Download or read book Proceedings of the St Petersburg Mathematical Society Volume IX written by N. N. Uraltseva and published by American Mathematical Soc.. This book was released on with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translations of articles on mathematics appearing in various Russian mathematical serials.
Download or read book Four Papers on Partial Differential Equations written by Czou Jui-Lin and published by American Mathematical Soc.. This book was released on 1964 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Parabolic Equations and Hyperbolic Parabolic Coupled Systems written by Songmu Zheng and published by CRC Press. This book was released on 1995-08-08 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the global existence, uniqueness and asymptotic behaviour of smooth solutions to both initial value problems and initial boundary value problems for nonlinear parabolic equations and hyperbolic parabolic coupled systems. Most of the material is based on recent research carried out by the author and his collaborators. The book can be divided into two parts. In the first part, the results on decay of solutions to nonlinear parabolic equations and hyperbolic parabolic coupled systems are obtained, and a chapter is devoted to the global existence of small smooth solutions to fully nonlinear parabolic equations and quasilinear hyperbolic parabolic coupled systems. Applications of the results to nonlinear thermoelasticity and fluid dynamics are also shown. Some nonlinear parabolic equations and coupled systems arising from the study of phase transitions are investigated in the second part of the book. The global existence, uniqueness and asymptotic behaviour of smooth solutions with arbitrary initial data are obtained. The final chapter is further devoted to related topics: multiplicity of equilibria and the existence of a global attractor, inertial manifold and inertial set. A knowledge of partial differential equations and Sobolev spaces is assumed. As an aid to the reader, the related concepts and results are collected and the relevant references given in the first chapter. The work will be of interest to researchers and graduate students in pure and applied mathematics, mathematical physics and applied sciences.
Download or read book The Atlas of Finite Groups Ten Years On written by Robert Curtis and published by Cambridge University Press. This book was released on 1998-06-11 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings containing twenty articles by leading experts in group theory and its applications.
