Asymptotics for Dissipative Nonlinear Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotics for Dissipative Nonlinear Equations write by Nakao Hayashi. This book was released on 2006-04-21. Asymptotics for Dissipative Nonlinear Equations available in PDF, EPUB and Kindle. Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others.
Asymptotics for Dissipative Nonlinear Equations
Asymptotics for Dissipative Nonlinear Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotics for Dissipative Nonlinear Equations write by . This book was released on 2006. Asymptotics for Dissipative Nonlinear Equations available in PDF, EPUB and Kindle.
Asymptotic Behavior of Dissipative Systems
Asymptotic Behavior of Dissipative Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Behavior of Dissipative Systems write by Jack K. Hale. This book was released on 2010-01-04. Asymptotic Behavior of Dissipative Systems available in PDF, EPUB and Kindle. This monograph reports the advances that have been made in the area by the author and many other mathematicians; it is an important source of ideas for the researchers interested in the subject. --Zentralblatt MATH Although advanced, this book is a very good introduction to the subject, and the reading of the abstract part, which is elegant, is pleasant. ... this monograph will be of valuable interest for those who aim to learn in the very rapidly growing subject of infinite-dimensional dissipative dynamical systems. --Mathematical Reviews This book is directed at researchers in nonlinear ordinary and partial differential equations and at those who apply these topics to other fields of science. About one third of the book focuses on the existence and properties of the flow on the global attractor for a discrete or continuous dynamical system. The author presents a detailed discussion of abstract properties and examples of asymptotically smooth maps and semigroups. He also covers some of the continuity properties of the global attractor under perturbation, its capacity and Hausdorff dimension, and the stability of the flow on the global attractor under perturbation. The remainder of the book deals with particular equations occurring in applications and especially emphasizes delay equations, reaction-diffusion equations, and the damped wave equations. In each of the examples presented, the author shows how to verify the existence of a global attractor, and, for several examples, he discusses some properties of the flow on the global attractor.
Nonlinear Asymptotic Integration Algorithms for One-Dimensional Autonomous Dissipative First-Order Odes
Nonlinear Asymptotic Integration Algorithms for One-Dimensional Autonomous Dissipative First-Order Odes - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Asymptotic Integration Algorithms for One-Dimensional Autonomous Dissipative First-Order Odes write by National Aeronautics and Space Administration (NASA). This book was released on 2018-08-20. Nonlinear Asymptotic Integration Algorithms for One-Dimensional Autonomous Dissipative First-Order Odes available in PDF, EPUB and Kindle. Nonlinear asymptotic integrators are applied to one-dimensional, nonlinear, autonomous, dissipative, ordinary differential equations. These integrators, including a one-step explicit, a one-step implicit, and a one- and two-step midpoint algorithm, are designed to follow the asymptotic behavior of a system approaching a steady state. The methods require that the differential equation be written in a particular asymptotic form. This is always possible for a one-dimensional equation with a globally asymptotic steady state. In this case, conditions are obtained to guarantee that the implicit algorithms are well defined. Further conditions are determined for the implicit methods to be contractive. These methods are all first order accurate, while under certain conditions the midpoint algorithms may also become second order accurate. The stability of each method is investigated and an estimate of the local error is provided. Haslach, Henry W., Jr. and Freed, Alan D. and Walker, Kevin P. Glenn Research Center NAG3-1321; RTOP 505-63-5A...
Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation
Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation write by . This book was released on 1990. Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation available in PDF, EPUB and Kindle.
