On the Spectrum of the Magnetohydrodynamic Mean-Field $\alpha^2$-Dynamo Operator

DOI10.1137/100782024zbMath1218.47008arXiv1004.0231OpenAlexW1970997242MaRDI QIDQ5392379

Uwe Günther, Christiane Tretter, Heinz K. Langer

Publication date: 8 April 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0231

zbMATH Keywords

block operator matrixeigenvalue estimatesnon-selfadjoint operatormagnetohydrodynamic dynamo problemsystem of Bessel operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Magnetohydrodynamics and electrohydrodynamics (76W05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (4)

Eigenvalues of Magnetohydrodynamic Mean-Field Dynamo Models: Bounds and Reliable Computation ⋮ Decays of degeneracies in \(\mathcal PT\)-symmetric ring-shaped lattices ⋮ Smeared quantum lattices exhibiting 𝒫𝒯-symmetry with positive 𝒫 ⋮ Spectral properties of oscillatory and non-oscillatory α²-dynamos

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