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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations Book

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, 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 PDE, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
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  • Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
  • Written by author P. Constantin
  • Published by Springer-Verlag New York, LLC, 7/31/2012
  • 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 PDE
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Contents: Introduction.- Presentation of the Approach and of the Main Results.- The Transport of Finite Dimensional Contact Elements.- Spectral Blocking Property.- Strong Squeezing Property.- Cone Invariance Properties.- Consequences Regarding the Global Attractor.- Local Exponential Decay Toward Blocked Integral Surfaces.- Exponential Decay of Volume Elements and the Dimension of the Global Attractor.- Choice of the Initial Manifold.- Construction of the Inertial Mainfold.- Lower Bound for the Exponential Rate of Convergence to the Attractor.- Asymptotic Completeness: Preparation.- Asymptotic Completeness: Proof of Theorem 12.1.- Stability with Respect to Perturbations.- Application: The Kuramoto-Sivashinsky Equation.- Application: A Nonlocal Burgers Equation.- Application: The Cahn-Hilliard Equation.- Application: A parabolic Equation in Two Space Variables.- Application: The Chaffee-Infante Reaction Diffusion Equation.- References.- Index.


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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, 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 PDE, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, 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 PDE, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

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Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, 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 PDE, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations

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