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Author : Messoud Efendiev
Publisher :
ISBN 13 :
Total Pages : 53 pages
Book Rating : 4.:/5 (76 download)
Download or read book The Attractor for a Nonlinear Reaction Diffusion System in an Unbounded Domain written by Messoud Efendiev and published by . This book was released on 1999 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9789810249885
Total Pages : 846 pages
Book Rating : 4.2/5 (498 download)
Download or read book International Conference on Differential Equations, Berlin, Germany, 1-7 August, 1999 written by Bernold Fiedler and published by World Scientific. This book was released on 2000 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences
Author : Bernold Fiedler
Publisher : World Scientific
ISBN 13 : 9814522163
Total Pages : 838 pages
Book Rating : 4.8/5 (145 download)
Download or read book Equadiff 99 (In 2 Volumes) - Proceedings Of The International Conference On Differential Equations written by Bernold Fiedler and published by World Scientific. This book was released on 2000-09-05 with total page 838 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a compilation of high quality papers focussing on five major areas of active development in the wide field of differential equations: dynamical systems, infinite dimensions, global attractors and stability, computational aspects, and applications. It is a valuable reference for researchers in diverse disciplines, ranging from mathematics through physics, engineering, chemistry, nonlinear science to the life sciences.
Author : C.M. Dafermos
Publisher : Elsevier
ISBN 13 : 0080931979
Total Pages : 609 pages
Book Rating : 4.0/5 (89 download)
Download or read book Handbook of Differential Equations: Evolutionary Equations written by C.M. Dafermos and published by Elsevier. This book was released on 2008-10-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts
Author : Michel Chipot
Publisher : Springer Science & Business Media
ISBN 13 : 9783764372668
Total Pages : 556 pages
Book Rating : 4.3/5 (726 download)
Download or read book Nonlinear Elliptic and Parabolic Problems written by Michel Chipot and published by Springer Science & Business Media. This book was released on 2005-10-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces.
Author : Messoud Efendiev
Publisher : Springer
ISBN 13 : 3319984071
Total Pages : 273 pages
Book Rating : 4.3/5 (199 download)
Download or read book Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations written by Messoud Efendiev and published by Springer. This book was released on 2018-10-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.
Author : Victor A. Sadovnichiy
Publisher : Springer Nature
ISBN 13 : 303050302X
Total Pages : 525 pages
Book Rating : 4.0/5 (35 download)
Download or read book Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics written by Victor A. Sadovnichiy and published by Springer Nature. This book was released on 2020-11-24 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the latest approaches and methods in fundamental mathematics and mechanics, and discusses the practical application of abstract mathematical approaches, such as differential geometry, and differential and difference equations in solid mechanics, hydrodynamics, aerodynamics, optimization, decision-making theory and control theory. Featuring selected contributions to the open seminar series of Lomonosov Moscow State University and Igor Sikorsky Kyiv Polytechnic Institute by mathematicians from China, Germany, France, Italy, Spain, Russia, Ukraine and the USA, the book will appeal to mathematicians and engineers working at the interface of these fields
Author : Messoud Efendiev
Publisher : Springer Nature
ISBN 13 : 9811998809
Total Pages : 217 pages
Book Rating : 4.8/5 (119 download)
Download or read book Linear and Nonlinear Non-Fredholm Operators written by Messoud Efendiev and published by Springer Nature. This book was released on 2023-02-04 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a new aspect of linear and nonlinear non-Fredholm operators and its applications. The domain of applications of theory developed here is potentially much wider than that presented in the book. Therefore, a goal of this book is to invite readers to make contributions to this fascinating area of mathematics. First, it is worth noting that linear Fredholm operators, one of the most important classes of linear maps in mathematics, were introduced around 1900 in the study of integral operators. These linear Fredholm operators between Banach spaces share, in some sense, many properties with linear maps between finite dimensional spaces. Since the end of the previous century there has been renewed interest in linear – nonlinear Fredholm maps from a topological degree point of view and its applications, following a period of “stagnation" in the mid-1960s. Now, linear and nonlinear Fredholm operator theory and the solvability of corresponding equations both from the analytical and topological points of view are quite well understood. Also noteworthy is, that as a by-product of our results, we have obtained an important tool for modelers working in mathematical biology and mathematical medicine, namely, the necessary conditions for preserving positive cones for systems of equations without Fredholm property containing local – nonlocal diffusion as well as terms for transport and nonlinear interactions.
Author : Bernold Fiedler
Publisher : Springer Science & Business Media
ISBN 13 : 3642565891
Total Pages : 816 pages
Book Rating : 4.6/5 (425 download)
Download or read book Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems written by Bernold Fiedler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.
Author : Claude Bardos
Publisher : Springer Science & Business Media
ISBN 13 : 0387752196
Total Pages : 395 pages
Book Rating : 4.3/5 (877 download)
Download or read book Instability in Models Connected with Fluid Flows II written by Claude Bardos and published by Springer Science & Business Media. This book was released on 2007-12-20 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique collection of papers, all written by leading specialists, that presents the most recent results and advances in stability theory as it relates to fluid flows. The stability property is of great interest for researchers in many fields, including mathematical analysis, theory of partial differential equations, optimal control, numerical analysis, and fluid mechanics. This text will be essential reading for many researchers working in these fields.
Author : V. Lakshmikantham
Publisher : CRC Press
ISBN 13 : 9780415305280
Total Pages : 336 pages
Book Rating : 4.3/5 (52 download)
Download or read book Monotone Flows and Rapid Convergence for Nonlinear Partial Differential Equations written by V. Lakshmikantham and published by CRC Press. This book was released on 2003-02-27 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monotone iterative technique is used to obtain monotone approximate solutions that converge to the solution of nonlinear problems of partial differential equations of elliptic, parabolic and hyperbolic type. This volume describes that technique, which has played a valuable role in unifying a variety of nonlinear problems, particularly when combined with the quasilinearization method. The first part of this monograph describes the general methodology using the classic approach, while the second part develops the same basic ideas via the variational technique. The text provides a useful and timely reference for applied scientists, engineers and numerical analysts.
Author : Freddy Dumortier
Publisher : World Scientific
ISBN 13 : 9814480916
Total Pages : 1180 pages
Book Rating : 4.8/5 (144 download)
Download or read book Equadiff 2003 - Proceedings Of The International Conference On Differential Equations written by Freddy Dumortier and published by World Scientific. This book was released on 2005-02-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume contains the state of the art on ODE's and PDE's of different nature, functional differential equations, delay equations, and others, mostly from the dynamical systems point of view.A broad range of topics are treated through contributions by leading experts of their fields, presenting the most recent developments. A large variety of techniques are being used, stressing geometric, topological, ergodic and numerical aspects.The scope of the book is wide, ranging from pure mathematics to various applied fields. Examples of the latter are provided by subjects from earth and life sciences, classical mechanics and quantum-mechanics, among others.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences
Author : Messoud Efendiev
Publisher : Springer Science & Business Media
ISBN 13 : 3034806159
Total Pages : 224 pages
Book Rating : 4.0/5 (348 download)
Download or read book Evolution Equations Arising in the Modelling of Life Sciences written by Messoud Efendiev and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes. The models and findings presented result from intensive discussions with microbiologists, doctors and medical staff, physicists, chemists and industrial engineers and are based on experimental data. They lead to a new class of degenerate density-dependent nonlinear reaction-diffusion convective equations that simultaneously comprise two kinds of degeneracy: porous-medium and fast-diffusion type degeneracy. To date, this class is still not clearly understood in the mathematical literature and thus especially interesting. The author both derives realistic life science models and their above-mentioned governing equations of the degenerate types and systematically studies these classes of equations. In each concrete case well-posedness, the dependence of solutions on boundary conditions reflecting some properties of the environment, and the large-time behavior of solutions are investigated and in some instances also studied numerically.
Author : Sergey Zelik
Publisher : American Mathematical Soc.
ISBN 13 : 0821842641
Total Pages : 112 pages
Book Rating : 4.8/5 (218 download)
Download or read book Multi-Pulse Evolution and Space-Time Chaos in Dissipative Systems written by Sergey Zelik and published by American Mathematical Soc.. This book was released on 2009-03-06 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study semilinear parabolic systems on the full space ${\mathbb R}^n$ that admit a family of exponentially decaying pulse-like steady states obtained via translations. The multi-pulse solutions under consideration look like the sum of infinitely many such pulses which are well separated. They prove a global center-manifold reduction theorem for the temporal evolution of such multi-pulse solutions and show that the dynamics of these solutions can be described by an infinite system of ODEs for the positions of the pulses. As an application of the developed theory, The authors verify the existence of Sinai-Bunimovich space-time chaos in 1D space-time periodically forced Swift-Hohenberg equation.
Author : Mikhail Z. Zgurovsky
Publisher : Springer Science & Business Media
ISBN 13 : 3642285120
Total Pages : 368 pages
Book Rating : 4.6/5 (422 download)
Download or read book Evolution Inclusions and Variation Inequalities for Earth Data Processing III written by Mikhail Z. Zgurovsky and published by Springer Science & Business Media. This book was released on 2012-05-22 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to two earlier volumes, the authors now focus on the long-time behavior of evolution inclusions, based on the theory of extremal solutions to differential-operator problems. This approach is used to solve problems in climate research, geophysics, aerohydrodynamics, chemical kinetics or fluid dynamics. As in the previous volumes, the authors present a toolbox of mathematical equations. The book is based on seminars and lecture courses on multi-valued and non-linear analysis and their geophysical application.
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.3/5 (91 download)
Download or read book Proceedings written by and published by . This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. S. Agranovich
Publisher : American Mathematical Soc.
ISBN 13 : 9780821833032
Total Pages : 292 pages
Book Rating : 4.8/5 (33 download)
Download or read book Partial Differential Equations written by M. S. Agranovich and published by American Mathematical Soc.. This book was released on 2002 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Vishik's Partial Differential Equations seminar held at Moscow State University was one of the world's leading seminars in PDEs for over 40 years. This book celebrates Vishik's eightieth birthday. It comprises new results and survey papers written by many renowned specialists who actively participated over the years in Vishik's seminars. Contributions include original developments and methods in PDEs and related fields, such as mathematical physics, tomography, and symplecticgeometry. Papers discuss linear and nonlinear equations, particularly linear elliptic problems in angles and general unbounded domains, linear elliptic problems with a parameter for mixed order systems, infinite-dimensional Schrodinger equations, Navier-Stokes equations, and nonlinear Maxwellequations. The book ends on a historical note with a paper about Vishik's seminar as a whole and a list of selected talks given from 1964 through 1989. The book is suitable for graduate students and researchers in pure and applied mathematics and mathematical physics.
