"Attractors for Non-Compact Semigroups Via Energy Equations" by Ioana Moise, Ricardo Rosa et al.
 

Abstract

The energy-equation approach used to prove the existence of the global attractor by establishing the so-called asymptotic compactness property of the semigroup is considered, and a general formulation that can handle a number of weakly damped hyperbolic equations and parabolic equations on either bounded or unbounded spatial domains is presented. as examples, three specific and physically relevant problems are considered, namely the flows of a second-grade fluid, the flows of a Newtonian fluid in an infinite channel past an obstacle, and a weakly damped, forced Korteweg-de Vries equation on the whole line.

Department(s)

Mathematics and Statistics

International Standard Serial Number (ISSN)

0951-7715

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 IOP Publishing; London Mathematical Society, All rights reserved.

Publication Date

01 Sep 1998

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