An indefinite convection-diffusion operator with real spectrum

DOI10.1016/j.aml.2008.03.023zbMath1163.35337arXiv0711.1371OpenAlexW2963568677MaRDI QIDQ1027515

John Weir

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1371

zbMATH Keywords

eigenvaluespectrumfluid mechanicsSturm-LiouvilleHeun's equationnon-self-adjoint

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General theory of partial differential operators (47F05) Linear higher-order PDEs (35G05)

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 ⋮ Open problems: The growth order of a solution of a singular non-self-adjoint differential equation, as a function of the spectral parameter ⋮ Shooting methods for a PT-symmetric periodic eigenvalue problem ⋮ Non-self-adjoint Toeplitz matrices whose principal submatrices have real spectrum ⋮ 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

Cites Work

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• Spectrum of a non-self-adjoint operator associated with the periodic heat equation
• An Indefinite Convection-Diffusion Operator
• A new type of instability: explosive disturbances in a liquid film inside a rotating horizontal cylinder

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