Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations PDF
by P. Constantin, C. Foias, B. Nicolaenko, R. Temam
Part of the Applied Mathematical Sciences series
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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.
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- Format:PDF
- Publisher:Springer New York
- Publication Date:06/12/2012
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- ISBN:9781461235064
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Download Now
- Format:PDF
- Publisher:Springer New York
- Publication Date:06/12/2012
- Category:
- ISBN:9781461235064