# Convergence of eigenvalues for a highly non-self-adjoint differential operator - Mathematics > Spectral Theory

Abstract: In this paper we study a family of operators dependent on a small parameter$\epsilon > 0$, which arise in a problem in fluid mechanics. We show that thespectra of these operators converge to N as $\epsilon \to 0$, even though, forfixed $\epsilon > 0$, the eigenvalue asymptotics are quadratic.

Author: E. B. Davies, John Weir

Source: https://arxiv.org/