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Author : S. Kamin
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.:/5 (897 download)
Download or read book Large Time Behaviour of Solutions of the Porous Media Equation with Absorption written by S. Kamin and published by . This book was released on 1985 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lambertus A. Peletier
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (841 download)
Download or read book Large Time Behaviour of Solutions of the Porous Media Equation with Absorption written by Lambertus A. Peletier and published by . This book was released on 1990 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maura Ughi
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (43 download)
Download or read book On the Porous Media Equation with Either Source Or Absorption written by Maura Ughi and published by . This book was released on 1991 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P.L. Sachdev
Publisher : Springer Science & Business Media
ISBN 13 : 0387878092
Total Pages : 240 pages
Book Rating : 4.3/5 (878 download)
Download or read book Large Time Asymptotics for Solutions of Nonlinear Partial Differential Equations written by P.L. Sachdev and published by Springer Science & Business Media. This book was released on 2009-10-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large number of physical phenomena are modeled by nonlinear partial differential equations, subject to appropriate initial/ boundary conditions; these equations, in general, do not admit exact solution. The present monograph gives constructive mathematical techniques which bring out large time behavior of solutions of these model equations. These approaches, in conjunction with modern computational methods, help solve physical problems in a satisfactory manner. The asymptotic methods dealt with here include self-similarity, balancing argument, and matched asymptotic expansions. The physical models discussed in some detail here relate to porous media equation, heat equation with absorption, generalized Fisher's equation, Burgers equation and its generalizations. A chapter each is devoted to nonlinear diffusion and fluid mechanics. The present book will be found useful by applied mathematicians, physicists, engineers and biologists, and would considerably help understand diverse natural phenomena.
Author : Victor A. Galaktionov
Publisher : Springer Science & Business Media
ISBN 13 : 1461220505
Total Pages : 388 pages
Book Rating : 4.4/5 (612 download)
Download or read book A Stability Technique for Evolution Partial Differential Equations written by Victor A. Galaktionov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Introduces a state-of-the-art method for the study of the asymptotic behavior of solutions to evolution partial differential equations. * Written by established mathematicians at the forefront of their field, this blend of delicate analysis and broad application is ideal for a course or seminar in asymptotic analysis and nonlinear PDEs. * Well-organized text with detailed index and bibliography, suitable as a course text or reference volume.
Author : Juan Luis Vazquez
Publisher : Oxford University Press
ISBN 13 : 0198569033
Total Pages : 647 pages
Book Rating : 4.1/5 (985 download)
Download or read book The Porous Medium Equation written by Juan Luis Vazquez and published by Oxford University Press. This book was released on 2007 with total page 647 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heatequation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, andother fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.
Author : W.-M. Ni
Publisher : Springer Science & Business Media
ISBN 13 : 1461396050
Total Pages : 359 pages
Book Rating : 4.4/5 (613 download)
Download or read book Nonlinear Diffusion Equations and Their Equilibrium States I written by W.-M. Ni and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years considerable interest has been focused on nonlinear diffu sion problems, the archetypical equation for these being Ut = D.u + f(u). Here D. denotes the n-dimensional Laplacian, the solution u = u(x, t) is defined over some space-time domain of the form n x [O,T], and f(u) is a given real function whose form is determined by various physical and mathematical applications. These applications have become more varied and widespread as problem after problem has been shown to lead to an equation of this type or to its time-independent counterpart, the elliptic equation of equilibrium D.u + f(u) = o. Particular cases arise, for example, in population genetics, the physics of nu clear stability, phase transitions between liquids and gases, flows in porous media, the Lend-Emden equation of astrophysics, various simplified com bustion models, and in determining metrics which realize given scalar or Gaussian curvatures. In the latter direction, for example, the problem of finding conformal metrics with prescribed curvature leads to a ground state problem involving critical exponents. Thus not only analysts, but geome ters as well, can find common ground in the present work. The corresponding mathematical problem is to determine how the struc ture of the nonlinear function f(u) influences the behavior of the solution.
Author : A. A. Samarskii
Publisher : Walter de Gruyter
ISBN 13 : 3110889862
Total Pages : 561 pages
Book Rating : 4.1/5 (18 download)
Download or read book Blow-Up in Quasilinear Parabolic Equations written by A. A. Samarskii and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)
Author : Huilai Li
Publisher : World Scientific
ISBN 13 : 9814490369
Total Pages : 521 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Diffusion Equations written by Huilai Li and published by World Scientific. This book was released on 2001-11-12 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear diffusion equations, an important class of parabolic equations, come from a variety of diffusion phenomena which appear widely in nature. They are suggested as mathematical models of physical problems in many fields, such as filtration, phase transition, biochemistry and dynamics of biological groups. In many cases, the equations possess degeneracy or singularity. The appearance of degeneracy or singularity makes the study more involved and challenging. Many new ideas and methods have been developed to overcome the special difficulties caused by the degeneracy and singularity, which enrich the theory of partial differential equations.This book provides a comprehensive presentation of the basic problems, main results and typical methods for nonlinear diffusion equations with degeneracy. Some results for equations with singularity are touched upon.
Author : Nakao Hayashi
Publisher : Gulf Professional Publishing
ISBN 13 : 9780444515698
Total Pages : 350 pages
Book Rating : 4.5/5 (156 download)
Download or read book Nonlinear Theory of Pseudodifferential Equations on a Half-line written by Nakao Hayashi and published by Gulf Professional Publishing. This book was released on 2004-01-13 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first attempt to develop systematically a general theory of the initial-boundary value problems for nonlinear evolution equations with pseudodifferential operators Ku on a half-line or on a segment. We study traditionally important problems, such as local and global existence of solutions and their properties, in particular much attention is drawn to the asymptotic behavior of solutions for large time. Up to now the theory of nonlinear initial-boundary value problems with a general pseudodifferential operator has not been well developed due to its difficulty. There are many open natural questions. Firstly how many boundary data should we pose on the initial-boundary value problems for its correct solvability? As far as we know there are few results in the case of nonlinear nonlocal equations. The methods developed in this book are applicable to a wide class of dispersive and dissipative nonlinear equations, both local and nonlocal. · For the first time the definition of pseudodifferential operator on a half-line and a segment is done · A wide class of nonlinear nonlocal and local equations is considered · Developed theory is general and applicable to different equations · The book is written clearly, many examples are considered · Asymptotic formulas can be used for numerical computations by engineers and physicists · The authors are recognized experts in the nonlinear wave phenomena
Author : Nihon Sūgakkai
Publisher :
ISBN 13 :
Total Pages : 1034 pages
Book Rating : 4.3/5 (91 download)
Download or read book JMSJ written by Nihon Sūgakkai and published by . This book was released on 2002 with total page 1034 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Marie Chipot
Publisher : World Scientific
ISBN 13 : 9814474614
Total Pages : 268 pages
Book Rating : 4.8/5 (144 download)
Download or read book Recent Advances In Nonlinear Analysis - Proceedings Of The International Conference On Nonlinear Analysis written by Michel Marie Chipot and published by World Scientific. This book was released on 2008-02-22 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.
Author : Michel Chipot
Publisher : World Scientific
ISBN 13 : 9812709258
Total Pages : 268 pages
Book Rating : 4.8/5 (127 download)
Download or read book Recent Advances in Nonlinear Analysis written by Michel Chipot and published by World Scientific. This book was released on 2008 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume considers the most recent advances in various topics in partial differential equations. Many important issues such as evolution problems, their asymptotic behavior and their qualitative properties are addressed. The quality and completeness of the articles make this book both a source of inspiration and reference for future research.
Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential and Integral Equations written by and published by . This book was released on 2009 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 806 pages
Book Rating : 4.3/5 (91 download)
Download or read book Journal of Partial Differential Equations written by and published by . This book was released on 2004 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : L Magalhaes
Publisher : World Scientific
ISBN 13 : 9814545074
Total Pages : 578 pages
Book Rating : 4.8/5 (145 download)
Download or read book Equadiff 95 - Proceedings Of The International Conference On Differential Equations written by L Magalhaes and published by World Scientific. This book was released on 1998-04-30 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.
Author :
Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
