Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations (Applied Mathematical Sciences, 70)

Constantin, P.; Foias, C.; Nicolaenko, B.; Temam, R.

ISBN 10: 038796729X / ISBN 13: 9780387967295

Verlag: Springer, 1988

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Bestandsnummer des Verkäufers 051790

Bibliografische Details

Titel: Integral Manifolds and Inertial Manifolds ...

Verlag: Springer

Erscheinungsdatum: 1988

Einband: Hardcover

Zustand: Near Fine

Art des Buches: Book

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Inhaltsangabe:

Book by Constantin P Foias C Nicolaenko B Temam R

Reseña del editor:

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.