Ebook Info
- Published: 2001
- Number of pages: 480 pages
- Format: PDF
- File Size: 10.83 MB
- Authors: James C. Robinson
Description
This book develops the theory of global attractors for a class of parabolic PDEs that includes reaction-diffusion equations and the Navier-Stokes equations, two examples that are treated in detail. A lengthy chapter on Sobolev spaces provides the framework that allows a rigorous treatment of existence and uniqueness of solutions for both linear time-independent problems (Poisson’s equation) and the nonlinear evolution equations which generate the infinite-dimensional dynamical systemss of the title. Attention then switches to the global attractor, a finite-dimensional subset of the infinite-dimensional phase space which determines the asymptotic dynamics. In particular, the concluding chapters investigate in what sense the dynamics restricted to the attractor are themselves “finite-dimensional.” The book is intended as a didactic text for first year graduates, and assumes only a basic knowledge of Banach and Hilbert spaces, and a working understanding of the Lebesgue integral.
User’s Reviews
Editorial Reviews: Review “The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion…[it] constitutes an excellent resource for researchers and advanced graduate students in applied mathematics, dynamical systems, nonlinear dynamics, and computational mechanics. Its acquisition by libraries is strongly recommended.” Applied Mechanics Reviews Book Description This book treats the theory of global attractors, a recent development in the theory of partial differential equations.
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐not as good as expected but it is the best version
⭐I read it several times it is not easy but clear and good for you to learn the dynamic systems. Anyway weath to buy.
⭐complete review of the subject
⭐A very well written book.
⭐He comenzado la tesis hace poco y mi director me recomenó este libro. Está bien escrito, con demostraciones muy claras y compartimentado en 4 secciones por “área de conocimiento”. Para alguien que ya haya terminado la carrera de matemáticas (habiendo cursado EDPs y análisis funcional) los dos primeros serán de repaso (salvo quizás el capítulo dedicado a Navier-Stokes). Sin embargo la “chicha” se encuentra en las últimas dos secciones, cuya exposición encuentro muy asequible.El texto es lo que el autor dice que pretende: un primer contacto con los sistemas dinámicos para alguien que acaba de comenzar la tesis.
⭐
⭐Everything is given elaborately…Also a lot of small small details r given…
Keywords
Free Download Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition in PDF format
Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition PDF Free Download
Download Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition 2001 PDF Free
Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition 2001 PDF Free Download
Download Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition PDF
Free Download Ebook Infinite-Dimensional Dynamical Systems: An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors (Cambridge Texts in Applied Mathematics, Series Number 28) 1st Edition
