A finite dimensional attractor of the Moore-Greitzer PDE model

Authors
Birnir, B Hauksson, HA
Citation
B. Birnir et Ha. Hauksson, A finite dimensional attractor of the Moore-Greitzer PDE model, SIAM J A MA, 59(2), 1998, pp. 636-650
Citations number
16
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
59
Issue
2
Year of publication
1998
Pages
636 - 650
Database
ISI
SICI code
0036-1399(199812)59:2<636:AFDAOT>2.0.ZU;2-B
Abstract
The Moore-Greitzer PDE model with viscosity is presented and the equations are rewritten as an evolution equation on a Hilbert space. It is proven tha t the model has a unique global solution which is smooth in space and time. Furthermore it is proven that there exists a global attractor, i.e., a com pact set which attracts all bounded sets. Finally it is shown that the attr actor has a finite fractal dimension.