Highly Influenced

6 Excerpts

@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} }

- Published in SIAM Journal of Applied Mathematics 1998
DOI:10.1137/s0036139997325527

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.