On the spectrum of the operator of inner waves in a viscous compressible stratified fluid
Andrei Giniatoulline, Tovias Castro · Institutional Repositories DataBase (IRDB) · 2012
We study the structure of the spectrum of differential operators which arise in the problems modelling the inner oscillations of viscous compressible barotropic exponentially stratified three-dimensional fluid. For Dirichlet problem, we prove that the essential spectrum consists of three real points. We find the sector of the complex plane to which all the eigenvalues belong.