Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems
نویسندگان
چکیده
منابع مشابه
Invariant manifolds for dissipative systems
A method is given for a study of a nonlinear evolution equation for finding “slow” invariant manifolds. The method is studied for the evolution problem u̇=−Au + Au ,u / u ,u u, u 0 =u0, where A is a linear, self-adjoint, possibly unbounded operator in a Hilbert space. Global existence and uniqueness of the solution to this problem are proven. Asymptotic behavior of the solution as t→ is studied....
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Article history: Received 2 February 2009 Available online 26 September 2009 Submitted by B. Straughan
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1984
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171284000685