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Titlebook: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations; P. Constantin,C. Foias,R. Teman Book 1989 Spring

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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations978-1-4612-3506-4Series ISSN 0066-5452 Series E-ISSN 2196-968X
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Asymptotic Completeness: Preparation,rs. In this chapter and Chapter 13 the property that we prove is . of the inertial manifold . that we have constructed. We recall that the asymptotic completeness means that given any orbit of the dynamical system, we can find another orbit lying on . that produces the same limit behavior at . → ∞.
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Spectral Blocking Property,Our aim is to investigate the time evolution of the position of Ker(. − .(.)) relative to the fixed system of coordinates given by . .,… .,… (the eigenvectors of .).
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Strong Squeezing Property,Let .,(.) = .(.)., . = 1, 2, be two solutions of (2.1). Then their difference . = .(.) − .(.) satisfies the equation . where ..
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