Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations - Applied Mathematical Sciences - P. Constantin - Books - Springer-Verlag New York Inc. - 9780387967295 - October 25, 1988
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P. Constantin
Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations - Applied Mathematical Sciences 1st edition

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This work, the main results of which were announced in (CFNT), focuses on a new geometric explicit construction of inertial manifolds from integral manifolds generated by some initial dimensional surface. The method covers a large class of dissipative PDEs. The existence of a smooth integral manifold the closure of which in an inertial manifold M (i. E. containing X and uniformly exponentially attracting) requires a more detailed analysis of the geometric properties of the infinite dimensional flow. The method is explicity constructive, integrating forward in time and avoiding any fixed point theorems. The key geometric property upon which we base the construction of our integral inertial manifold M is a Spectral Blocking Property of the flow, which controls the evolution of the position of surface elements relative to the fixed reference frame associated to the linear principal part of the PDE.

133 pages

Media Books     Hardcover Book   (Book with hard spine and cover)
Released October 25, 1988
ISBN13 9780387967295
Publishers Springer-Verlag New York Inc.
Pages 133
Dimensions 159 × 235 × 235 mm   ·   500 g   (Weight (estimated))
Language English  

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