Geodesic
Spectral analysis of linearized stationary equations of a~compressible viscous fluid
Sbornik. Mathematics, Tome 198 (2007) no. 10, pp. 1495-1515

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The spectrum of an operator on a torus described by linearized stationary equations of a compressible viscous fluid is considered. These equations are obtained by the linearization of non-linear equations of a compressible viscous fluid at an arbitrary solution depending on the $x$-variable. It is shown that the spectrum of the operator is a discrete point set, which lies in a sector of the complex plane that is symmetric relative to the real axis and has its vertex on the positive half-axis. Bibliography: 10 titles. 
@article{SM_2007_198_10_a5,
     author = {M. A. Pribyl},
     title = {Spectral analysis of linearized stationary equations of a~compressible viscous fluid},
     journal = {Sbornik. Mathematics},
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     volume = {198},
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     year = {2007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2007_198_10_a5/}
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M. A. Pribyl. Spectral analysis of linearized stationary equations of a~compressible viscous fluid. Sbornik. Mathematics, Tome 198 (2007) no. 10, pp. 1495-1515. http://geodesic.mathdoc.fr/item/SM_2007_198_10_a5/