3 citations · 8 across the 3 of their papers we have counts for
3 papers
math.SP2008★ 3 cited
Convergence of eigenvalues for a highly non-self-adjoint differential operator
E. B. Davies, John Weir
In this paper we study a family of operators dependent on a small parameter , which arise in a problem in fluid mechanics. We show that the spectra of these operators converg…
math.SP2008★ 2 cited
Correspondence of the eigenvalues of a non-self-adjoint operator to those of a self-adjoint operator
John Weir
We prove that the eigenvalues of a certain highly non-self-adjoint operator that arises in fluid mechanics correspond, up to scaling by a positive constant, to those of a self-adjo…
math.SP2007★ 3 cited
An Indefinite Convection-Diffusion Operator With Real Spectrum
John Weir
We confirm rigorously the conjecture, based on numerical and asymptotic evidence, that all the eigenvalues of a certain non-self-adjoint operator are real.