Partial Inertial Manifolds for infinite-dimensional dynamical systems: Example for P.D.E.s with a state-dependent delay

Details Partial Inertial Manifolds for infinite-dimensional dynamical systems: Example for P.D.E.s with a state-dependent delay Partial Inertial Manifolds for infinite-dimensional dynamical systems: Example for P.D.E.s with a state-dependent delay

2007-06-12

arxiv.org/abs/0706.1752v1

Mathematics

Dynamical Systems

13 pages

Scientific paper

We propose a new notion of Partial Inertial Manifold to study the long-time
asymptotic behavior of dissipative differential equations. As shown on an
example, such manifolds may exist in the cases when the classical Inertial
manifold does not exist (or not known to exist).

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