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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations


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About the 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.


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Product Details
  • ISBN-13: 9780387967295
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 235 mm
  • No of Pages: 123
  • Series Title: Applied Mathematical Sciences
  • Weight: 750 gr
  • ISBN-10: 038796729X
  • Publisher Date: 25 Oct 1988
  • Binding: Hardback
  • Language: English
  • Returnable: Y
  • Spine Width: 15.24 mm
  • Width: 159 mm


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