2021-12-05T14:27:56Zhttps://repository.dl.itc.u-tokyo.ac.jp/oaioai:repository.dl.itc.u-tokyo.ac.jp:000400212021-03-02T02:39:27ZOn the spectrum of the operator of inner waves in a viscous compressible stratified fluidGiniatoulline, Andrei92461Castro, Tovias92462415Partial differential equationsSobolev spacesstratified fluidinner wavesessential spectrumWe 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.departmental bulletin paperGraduate School of Mathematical Sciences, The University of Tokyo2012-10-22application/pdfJournal of mathematical sciences, the University of Tokyo319313323AA1102165313405705https://repository.dl.itc.u-tokyo.ac.jp/record/40021/files/jms190304.pdfeng