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Author : Edriss S. Titi
Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.E/5 ( download)
Download or read book On Approximate Inertial Manifolds to the 2-d Navier-Stokes Equations written by Edriss S. Titi and published by . This book was released on 1988 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Don A. Jones
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.E/5 ( download)
Download or read book Determining Finite Volume Elements for the 2D Navier-Stokes Equations written by Don A. Jones and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Don A. Jones
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.E/5 ( download)
Download or read book On the Number of Determining Nodes for the 2 - D Navier-Stokes Equations written by Don A. Jones and published by . This book was released on 1990 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. S. Jolly
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.E/5 ( download)
Download or read book Approximate Inertial Manifolds for the Kuramoto-Sivashinsky Equation written by M. S. Jolly and published by . This book was released on 1989 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhoude Shao
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.:/5 (319 download)
Download or read book Inertial Manifolds for Partly Dissipative Reaction Diffusion Systems in Higher Space Dimensions written by Zhoude Shao and published by . This book was released on 1994 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Boling Guo
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110549654
Total Pages : 438 pages
Book Rating : 4.1/5 (15 download)
Download or read book Attractors and Inertial Manifolds written by Boling Guo and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-07-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the first volume is on the mathematical analysis of attractors and inertial manifolds. This volume deals with the existence of global attractors, inertial manifolds and with the estimation of Hausdorff fractal dimension for some dissipative nonlinear evolution equations in modern physics. Known as well as many new results about the existence, regularity and properties of inertial manifolds and approximate inertial manifolds are also presented in the first volume. The second volume will be devoted to modern analytical tools and methods in infinite-dimensional dynamical systems. Contents Attractor and its dimension estimation Inertial manifold The approximate inertial manifold
Author : Roger Temam
Publisher : SIAM
ISBN 13 : 0898713404
Total Pages : 147 pages
Book Rating : 4.8/5 (987 download)
Download or read book Navier-Stokes Equations and Nonlinear Functional Analysis written by Roger Temam and published by SIAM. This book was released on 1995-01-01 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.
Author : University of Minnesota. Institute for Mathematics and Its Applications
Publisher :
ISBN 13 :
Total Pages : 106 pages
Book Rating : 4.:/5 (29 download)
Download or read book Finite Dimensional Inertial Forms for the 2D Navier-Stokes Equations written by University of Minnesota. Institute for Mathematics and Its Applications and published by . This book was released on 1991 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Constantin
Publisher : Springer Science & Business Media
ISBN 13 : 1461235065
Total Pages : 133 pages
Book Rating : 4.4/5 (612 download)
Download or read book Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations written by P. Constantin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work was initiated in the summer of 1985 while all of the authors were at the Center of Nonlinear Studies of the Los Alamos National Laboratory; it was then continued and polished while the authors were at Indiana Univer sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in 1986 and 1987. Our aim was to present a direct geometric approach in the theory of inertial manifolds (global analogs of the unstable-center manifolds) for dissipative partial differential equations. This approach, based on Cauchy integral mani folds for which the solutions of the partial differential equations are the generating characteristic curves, has the advantage that it provides a sound basis for numerical Galerkin schemes obtained by approximating the inertial manifold. The work is self-contained and the prerequisites are at the level of a graduate student. The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ ential equations.
Author : Grzegorz Łukaszewicz
Publisher : Springer
ISBN 13 : 331927760X
Total Pages : 395 pages
Book Rating : 4.3/5 (192 download)
Download or read book Navier–Stokes Equations written by Grzegorz Łukaszewicz and published by Springer. This book was released on 2016-04-12 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to the study of the Navier–Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling. Equipped with only a basic knowledge of calculus, functional analysis, and partial differential equations, the reader is introduced to the concept and applications of the Navier–Stokes equations through a series of fully self-contained chapters. Including lively illustrations that complement and elucidate the text, and a collection of exercises at the end of each chapter, this book is an indispensable, accessible, classroom-tested tool for teaching and understanding the Navier–Stokes equations. Incompressible Navier–Stokes equations describe the dynamic motion (flow) of incompressible fluid, the unknowns being the velocity and pressure as functions of location (space) and time variables. A solution to these equations predicts the behavior of the fluid, assuming knowledge of its initial and boundary states. These equations are one of the most important models of mathematical physics: although they have been a subject of vivid research for more than 150 years, there are still many open problems due to the nature of nonlinearity present in the equations. The nonlinear convective term present in the equations leads to phenomena such as eddy flows and turbulence. In particular, the question of solution regularity for three-dimensional problem was appointed by Clay Institute as one of the Millennium Problems, the key problems in modern mathematics. The problem remains challenging and fascinating for mathematicians, and the applications of the Navier–Stokes equations range from aerodynamics (drag and lift forces), to the design of watercraft and hydroelectric power plants, to medical applications such as modeling the flow of blood in the circulatory system.
Author : Roger Temam
Publisher : Springer Science & Business Media
ISBN 13 : 1461206456
Total Pages : 670 pages
Book Rating : 4.4/5 (612 download)
Download or read book Infinite-Dimensional Dynamical Systems in Mechanics and Physics written by Roger Temam and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations. This book attempts a systematic study of infinite dimensional dynamical systems generated by dissipative evolution partial differential equations arising in mechanics and physics and in other areas of sciences and technology. This second edition has been updated and extended.
Author : S. Friedlander
Publisher : Gulf Professional Publishing
ISBN 13 : 008053354X
Total Pages : 627 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Mathematical Fluid Dynamics written by S. Friedlander and published by Gulf Professional Publishing. This book was released on 2003-03-27 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.
Author : Roger Temam
Publisher : SIAM
ISBN 13 : 9781611970050
Total Pages : 155 pages
Book Rating : 4.9/5 (7 download)
Download or read book Navier-Stokes Equations and Nonlinear Functional Analysis written by Roger Temam and published by SIAM. This book was released on 1995-01-01 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behavior of solutions and attractors; and numerical analysis of the Navier-Stokes equations. Since publication of the first edition of these lectures in 1983, there has been extensive research in the area of inertial manifolds for Navier-Stokes equations. These developments are addressed in a new section devoted entirely to inertial manifolds. Inertial manifolds were first introduced under this name in 1985 and, since then, have been systematically studied for partial differential equations of the Navier-Stokes type. Inertial manifolds are a global version of central manifolds. When they exist they encompass the complete dynamics of a system, reducing the dynamics of an infinite system to that of a smooth, finite-dimensional one called the inertial system. Although the theory of inertial manifolds for Navier-Stokes equations is not complete at this time, there is already a very interesting and significant set of results which deserves to be known, in the hope that it will stimulate further research in this area. These results are reported in this edition.
Author : C. David Andereck
Publisher : Springer Science & Business Media
ISBN 13 : 1461534380
Total Pages : 351 pages
Book Rating : 4.4/5 (615 download)
Download or read book Ordered and Turbulent Patterns in Taylor-Couette Flow written by C. David Andereck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seldom does a physical system, particularly one as apparently simple as the flow of a Newtonian fluid between concentric rotating cylinders, retain the interest of scientists, applied mathematicians and engineers for very long. Yet, as this volume goes to press it has been nearly 70 years since G. I. Taylor's outstanding experimental and theoretical study of the linear stability of this flow was published, and a century since the first experiments were performed on rotating cylinder viscometers. Since then, the study of this system has progressed enormously, but new features of the flow patterns are still being uncovered. Interesting variations on the basic system abound. Connections with open flows are being made. More complex fluids are used in some experiments. The vigor of the research going on in this particular example of nonequilibrium systems was very apparent at the NATO Advanced Research Workshop on "Ordered and Turbulent Patterns in Taylor Couette Flow," held in Columbus, Ohio, USA May 22-24, 1991. A primary goal of this ARW was to bring together those interested in pattern formation in the classic Taylor Couette problem with those looking at variations on the basic system and with those interested in related systems, in order to better define the interesting areas for the future, the open questions, and the features common (and not common) to closed and open systems. This volume contains many of the contributions presented during the workshop.
Author : C. Foias
Publisher : Cambridge University Press
ISBN 13 : 1139428993
Total Pages : 363 pages
Book Rating : 4.1/5 (394 download)
Download or read book Navier-Stokes Equations and Turbulence written by C. Foias and published by Cambridge University Press. This book was released on 2001-08-27 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Author : K.D. Elworthy
Publisher : Routledge
ISBN 13 : 1351455206
Total Pages : 1000 pages
Book Rating : 4.3/5 (514 download)
Download or read book Differential Equations written by K.D. Elworthy and published by Routledge. This book was released on 2017-11-22 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.
Author : Christophe Devulder
Publisher :
ISBN 13 :
Total Pages : 80 pages
Book Rating : 4.E/5 ( download)
Download or read book On the Rate of Convergence of the Nonlinear Galerkin Methods written by Christophe Devulder and published by . This book was released on 1991 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
