An Indefinite Convection-Diffusion Operator

DOI10.1112/S1461157000001418zbMath1221.35260arXivmath/0702122MaRDI QIDQ3091949

E. Brian Davies

Publication date: 15 September 2011

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702122

Mathematics Subject Classification ID

Thin fluid films (76A20) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) General theory of rotating fluids (76U05) Forced convection (76R05)

Related Items (8)

Spectral Analysis of an Operator Arising in Fluid Dynamics ⋮ On a class of non-self-adjoint periodic eigenproblems with boundary and interior singularities ⋮ Shooting methods for a PT-symmetric periodic eigenvalue problem ⋮ Spectrum of a non-self-adjoint operator associated with the periodic heat equation ⋮ CORRESPONDENCE OF THE EIGENVALUES OF A NON‐SELF‐ADJOINT OPERATOR TO THOSE OF A SELF‐ADJOINT OPERATOR ⋮ Spectral parameter power series for Sturm–Liouville problems ⋮ On the stability of a forward-backward heat equation ⋮ An indefinite convection-diffusion operator with real spectrum

Cites Work

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• Complex Extension of Quantum Mechanics
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• Pseudo–spectra, the harmonic oscillator and complex resonances
• A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder
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• Wild Spectral Behaviour of Anharmonic Oscillators
• SPECTRAL ASYMPTOTICS OF THE NON-SELF-ADJOINT HARMONIC OSCILLATOR
• Wave packet pseudomodes of twisted Toeplitz matrices
• Explosive instability in a linear system with neutrally stable eigenmodes. Part 2. Multi-dimensional disturbances

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