A Finite Dimensional Attractor of the Moore-Greitzer PDE Model

@article{Birnir1998AFD,
  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},
  year={1998},
  volume={59},
  pages={636-650}
}
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 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 finite fractal dimension. 

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