Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution

DOI10.1134/S0001434614030092zbMath1315.35162MaRDI QIDQ2341992

A. I. Esina, Andrej I. Shafarevich

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

monodromy matrixturning pointReynolds numberspectral graphWKB asymptoticsStokes linequantization conditionsmagnetic induction operatortwo-dimensional surface of revolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Magnetohydrodynamics and electrohydrodynamics (76W05) Hydrodynamic and hydromagnetic problems in astronomy and astrophysics (85A30)

Related Items (4)

Level lines of harmonic functions related to some Abelian integrals ⋮ Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ Complex WKB method (one-dimensional linear problems on the complex plane) ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential

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