Applied Mathematical Sciences

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Authors: Constantin, P., Foias, C., Nicolaenko, B., Temam, R.

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About this book

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.

Table of contents (20 chapters)

Table of contents (20 chapters)

Buy this book

eBook $59.99
price for USA in USD (gross)
  • ISBN 978-1-4612-3506-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
  • ISBN 978-0-387-96729-5
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $79.99
price for USA in USD
  • ISBN 978-1-4612-8131-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
Authors
Series Title
Applied Mathematical Sciences
Series Volume
70
Copyright
1989
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York Inc.
eBook ISBN
978-1-4612-3506-4
DOI
10.1007/978-1-4612-3506-4
Hardcover ISBN
978-0-387-96729-5
Softcover ISBN
978-1-4612-8131-3
Series ISSN
0066-5452
Edition Number
1
Number of Pages
X, 123
Topics