A bundle view of boundary-value problems: Generalizing the Gardner--Jones bundle

DOI10.1016/S0022-0396(02)00153-5zbMath1029.34014MaRDI QIDQ1874338

Thomas J. Bridges, Francis R. Austin

Publication date: 25 May 2003

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Chern numberhydrodynamic stability theoryholomorphic familiescomplex eigenvalue parameterGardner-Jones bundlelinearized complex Ginzburg-Landau equationlinearized reaction-diffusion equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Absolute and convective instability and stability in hydrodynamic stability (76E15) Geometric methods in ordinary differential equations (34A26) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Statistical mechanics of magnetic materials (82D40)

Related Items (2)

Geometric phase in the Hopf bundle and the stability of non-linear waves ⋮ Numerical implementation of complex orthogonalization, parallel transport on Stiefel bundles, and analyticity

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