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Choice of the Initial Manifold

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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Part of the book series: Applied Mathematical Sciences ((AMS,volume 70))

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Abstract

We are now going to describe the set of initial data for our integral manifold. In order to make our treatment more transparent we shall assume that

$$\left( {B\left( {u,u} \right),u} \right) = 0{\text{ for all }}u \in \mathcal{D}{\text{(}}A{\text{)}}{\text{.}}$$
((9.1))

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Authors and Affiliations

  1. Department of Mathematics, University of Chicago, 60637, Chicago, IL, USA

    P. Constantin

  2. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    C. Foias

  3. Center for Nonlinear Studies, Los Alamos National Laboratory, 87545, Los Alamos, NM, USA

    B. Nicolaenko

  4. Department de Mathematiques, Université de Paris-Sud, 91405, Orsay, France

    R. Teman

Authors
  1. P. Constantin
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  2. C. Foias
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  3. B. Nicolaenko
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  4. R. Teman
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© 1989 Springer-Verlag New York Inc.

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Constantin, P., Foias, C., Nicolaenko, B., Teman, R. (1989). Choice of the Initial Manifold. In: Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations. Applied Mathematical Sciences, vol 70. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3506-4_10

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  • DOI: https://doi.org/10.1007/978-1-4612-3506-4_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8131-3

  • Online ISBN: 978-1-4612-3506-4

  • eBook Packages: Springer Book Archive

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