The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems

摘要

Some results concerning the computation of eigenvalues and eigenfunctions of fluid dynamics problems by applying methods of regularized traces of differential operators are presented. The presentation is focused primarily on the non-self-adjoint fourth-order Orr-Sommerfeld operator, which arises in the hydrodynamic stability theory of viscous flows.