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 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.