| Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations 1989 Edition Contributor(s): Constantin, P. (Author), Foias, C. (Author), Nicolaenko, B. (Author) |
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ISBN: 038796729X ISBN-13: 9780387967295 Publisher: Springer OUR PRICE: $94.05 Product Type: Hardcover - Other Formats Published: October 1988 |
| Additional Information |
| BISAC Categories: - Gardening - Mathematics | Geometry - General - Mathematics | Mathematical Analysis |
| Dewey: 515.353 |
| LCCN: 88020021 |
| Series: Recent Research in Psychology |
| Physical Information: 123 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |