A Finite Dimensional Attractor of the Moore--Greitzer PDE Model

DOI10.1137/S0036139997325527zbMath0926.34040OpenAlexW2082631210MaRDI QIDQ4237254

H. A. Hauksson, Björn Birnir

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997325527

zbMATH Keywords

global attractorHausdorff dimensionfractal dimensionexistence and uniqueness of solutionsjet engine modelMoore-Greitzer equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Nonlinear differential equations in abstract spaces (34G20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Attractors of solutions to ordinary differential equations (34D45) Higher-order parabolic equations (35K25) Complex (chaotic) behavior of solutions to functional-differential equations (34K23)

Related Items (3)

Derivation of the viscous Moore-Greitzer equation for aeroengine flow ⋮ The basic attractor and the remainder of homo- and heteroclinic orbits ⋮ Characterization of critical eigenvalues of axial flow engine compressor PDE model

This page was built for publication: A Finite Dimensional Attractor of the Moore--Greitzer PDE Model