A Finite Dimensional Attractor of the Moore-Greitzer PDE Model

  title={A Finite Dimensional Attractor of the Moore-Greitzer PDE Model},
  author={Bj{\"o}rn Birnir and H{\"o}skuldur Ari Hauksson},
  journal={SIAM Journal of Applied Mathematics},
The Moore-Greitzer PDE model with viscosity is presented and the equations rewritten as an evolution equation on a Hilbert space. It is proven that 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 compact set which attracts all bounded sets. Finally it is shown that the attractor has a nite fractal dimension. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

DistributedNonlinear Modeling and Stability Analysis of Axial Compressor Stall and Surge

  • C. A. Mansoux, D. L. Gysling, J. D. Setiawan, J. D. Paduano
  • AIAA Paper
  • 1998

On characteristic exponents in turbulence

  • E. Lieb
  • Comm . Math . Phys .
  • 1984

Large volume limit of distribution of characteristic exponents in turbulence

  • D. Ruelle
  • Comm . Math . Phys .
  • 1982

Characteristic exponents for a viscous uid subjected to time - dependent forces

  • P. Constantin, C. Foias
  • Comm . Math . Phys .

The global attractor of the damped and driven sineGordon equation

  • R. Grauer
  • Comm . Math . Phys .

Similar Papers

Loading similar papers…