Description: About this productProduct InformationThis book treats the theory of global attractors, a recent development in the theory of partial differential equations.Product IdentifiersPublisherCambridge University PressISBN-100521635640ISBN-139780521635646eBay Product ID (ePID)1833985Product Key FeaturesAuthorJames C. RobinsonPublication NameInfinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global AttractorsFormatTrade PaperbackLanguageEnglishPublication Year2001SeriesCambridge Texts in Applied Mathematics Ser.TypeTextbookNumber of Pages480 PagesDimensionsItem Length9in.Item Height1.1in.Item Width6in.Height1.1in.Item Weight24.7 OzAdditional Product FeaturesSeries Volume NumberSeries Number 28Lc Classification NumberQa614.813 .R63 2001Reviews'... will certainly benefit young researchers entering the described field.' Jan Cholewa, Zentralblatt MATH, 'The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. … 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, 'The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. ... 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, ‘The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. … 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, 'This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems ... At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.' W. Lamb, Proceedings of the Edinburgh Mathematical Society, 'This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems ... At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.'W. Lamb, Proceedings of the Edinburgh Mathematical Society, ‘This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems … At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.’W. Lamb, Proceedings of the Edinburgh Mathematical Society, '... will certainly benefit young researchers entering the described field.'Jan Cholewa, Zentralblatt MATH, 'The book is written clearly and concisely. It is well structured, and the material is presented in a rigorous, coherent fashion. A number of example problems are treated, and each chapter is followed by a series of problems whose solutions are available on the internet. ... 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, '… will certainly benefit young researchers entering the described field.' Jan Cholewa, Zentralblatt MATH, "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, 'This impressive book offers an excellent, self-contained introduction to many important aspects of infinite-dimensional systems … At the outset, the author states that his aim was to produce a didactic text suitable or first-year graduate students. Unquestionably he has achieved his goal. This book should prove invaluable to mathematicians wishing to gain some knowledge of the dynamical-systems approach to dissipative partial differential equations that has been developed during the past 20 years, and should be essential reading for any graduate student starting out on a PhD in this area.' W. Lamb, Proceedings of the Edinburgh Mathematical SocietyTable of ContentPart I. Functional Analysis: 1. Banach and Hilbert spaces; 2. Ordinary differential equations; 3. Linear operators; 4. Dual spaces; 5. Sobolev spaces; Part II. Existence and Uniqueness Theory: 6. The Laplacian; 7. Weak solutions of linear parabolic equations; 8. Nonlinear reaction-diffusion equations; 9. The Navier-Stokes equations existence and uniqueness; Part II. Finite-Dimensional Global Attractors: 10. The global attractor existence and general properties; 11. The global attractor for reaction-diffusion equations; 12. The global attractor for the Navier-Stokes equations; 13. Finite-dimensional attractors: theory and examples; Part III. Finite-Dimensional Dynamics: 14. Finite-dimensional dynamics I, the squeezing property: determining modes; 15. Finite-dimensional dynamics II, The stong squeezing property: inertial manifolds; 16. Finite-dimensional dynamics III, a direct approach; 17. The Kuramoto-Sivashinsky equation; Appendix A. Sobolev spaces of periodic functions; Appendix B. Bounding the fractal dimension using the decay of volume elements.Copyright Date2001Target AudienceScholarly & ProfessionalTopicGeneral, Differential Equations / PartialLccn00-041413Dewey Decimal514/.74Dewey Edition21IllustratedYesGenreMathematics
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Book Title: Infinite-Dimensional Dynamical Systems: An Introduction to Dissip
Narrative Type: Differential Equations
Genre: N/A
Intended Audience: N/A
Number of Pages: 480 Pages
Language: English
Publication Name: Infinite-Dimensional Dynamical Systems : An Introduction to Dissipative Parabolic PDEs and the Theory of Global Attractors
Publisher: Cambridge University Press
Publication Year: 2001
Subject: General, Differential Equations / Partial
Item Height: 1.1 in
Type: Textbook
Item Weight: 24.7 Oz
Item Length: 9 in
Author: James C. Robinson
Subject Area: Mathematics
Series: Cambridge Texts in Applied Mathematics Ser.
Item Width: 6 in
Format: Trade Paperback
