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Item Details
| Title:
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INTEGRAL MANIFOLDS AND INERTIAL MANIFOLDS FOR DISSIPATIVE PARTIAL DIFFERENTIAL EQUATIONS
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| By: |
P. Constantin, Ciprian Foias, Basil Nicolaenko |
| Format: |
Paperback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1461281318 |
| ISBN 13: |
9781461281313 |
| Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
| Pub. date: |
22 September, 2011 |
| Edition: |
Softcover reprint of the original 1st ed. 1989 |
| Series: |
Applied Mathematical Sciences 70 |
| Pages: |
123 |
| Description: |
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. |
| Synopsis: |
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. |
| Illustrations: |
X, 123 p. |
| Publication: |
US |
| Imprint: |
Springer-Verlag New York Inc. |
| Returns: |
Returnable |
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