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Presented By: Student Analysis Seminar - Department of Mathematics

Student Analysis Seminar: Linearized diocotron perturbation (characterization for l ≥ 2 eigenmode)

Shuhong Yang

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The linear stability analysis of the l = 1 diocotron perturbations in a low density single charged plasma confined in a cylindrical Penning trap has been precisely discussed. It has been shown that the l = 1 case admits at most an algebraic instability (no discrete spectra). Now for l ≥ 2 cases, we give a priori estimate for the spectra, and present a characterization for the orders of eigenvalues as poles of the Laplace transform.

Shuhong will bring souvenirs for everyone, to celebrate the upcoming Lunar New Year!
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