Characterization of critical eigenvalues of axial flow engine compressor PDE model

DOI10.1080/00036810600835201zbMath1110.35055OpenAlexW2026033566MaRDI QIDQ3423615

Mingqing Xiao

Publication date: 14 February 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810600835201

zbMATH Keywords

stabilityspectrumHopf bifurcationslinearized systemMoore-Greitzer PDE model

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Spectrum, resolvent (47A10) Attractors of solutions to ordinary differential equations (34D45)

Related Items (1)

Control of Hopf bifurcations of nonlinear infinite-dimensional systems: application to axial flow engine compressor

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• The Hopf bifurcation theorem in infinite dimensions
• Active control of compressor stall inception: A bifurcation-theoretic approach
• Bifurcation Analysis of Axial Flow Compressor Stability
• A Finite Dimensional Attractor of the Moore--Greitzer PDE Model
• Center Manifold of the Viscous Moore--Greitzer PDE Model
• A Backstepping Controller for a Nonlinear Partial Differential Equation Model of Compression System Instabilities
• Dynamics and control of entrained solutions in multi-mode MooreGreitzer compressor models

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