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The monograph presents the results of the study of wave propagation in a cylindrical shell with a liquid. Chapter 1 discusses some simplistic theory of shells compared to the torque, and their influence is analyzed on the dispersion relation for the various modes of oscillation of a shell (axisymmetric, bending, and the first non-axisymmetric), taking into account the viscous properties of the material. The second chapter examines the dynamic behavior of cylindrical shell (elastic or viscoelastic) in contact with the (ideal or viscous) liquid. In the third chapter studied (technique of Gröbner bases will be used for the analysis) of nonlinear waves in elastic deformation of geometrically and physically nonlinear cylindrical shell containing a viscous incompressible fluid. For researchers and students specializing in the field of continuum mechanics.