Abstract
An analog of the classical Couette problem for the motion of an incompressible viscoelastic Kelvin–Voigt medium in a gap between two coaxial cylinders is considered. The external cylinder is fixed, whereas the internal cylinder is rotating either forcedly with a constant velocity or inertially. The unique solvability is proved in both cases. An analogy between the propagation of acoustic cylindrical waves in a viscous gas and transversal waves in a Kelvin–Voigt medium moving along circular trajectories is discussed. The asymptotic behavior of solutions is also studied. It is shown that the limit regime can be monotone or oscillatory in dependence on the parameters of the problem. Bibliography: 11 titles. Illustrations: 2 figures.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
