Energy Methods for the Cahn-Hilliard Equation - 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 Energy Methods for the Cahn-Hilliard Equation write by University of Minnesota. Institute for Mathematics and Its Applications. This book was released on 1985. Energy Methods for the Cahn-Hilliard Equation 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.
The Cahn–Hilliard Equation: Recent Advances and Applications
The Cahn–Hilliard Equation: Recent Advances and Applications - 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 The Cahn–Hilliard Equation: Recent Advances and Applications write by Alain Miranville. This book was released on 2019-09-09. The Cahn–Hilliard Equation: Recent Advances and Applications available in PDF, EPUB and Kindle. This is the first book to present a detailed discussion of both classical and recent results on the popular Cahn–Hilliard equation and some of its variants. The focus is on mathematical analysis of Cahn–Hilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the Cahn–Hilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Nonlinear Differential Equations of Monotone Types in Banach Spaces - 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 Differential Equations of Monotone Types in Banach Spaces write by Viorel Barbu. This book was released on 2010-01-01. Nonlinear Differential Equations of Monotone Types in Banach Spaces available in PDF, EPUB and Kindle. This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Multigrid Methods
Multigrid Methods - 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 Multigrid Methods write by Ulrich Trottenberg. This book was released on 2001. Multigrid Methods available in PDF, EPUB and Kindle. Mathematics of Computing -- Numerical Analysis.
