Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state

Bulletin of the Yakovlev Chuvash State Pedagogical University. Series: Mechanics of Limit State


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Metadata (abstracts and keywords) for the articles in the journal

G. S. Tlyustangelov Evolution of perturbations in spreading viscous cylindric layer, subject to rotation and axial motion // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2016. № 4(30). p. 12-23
Author(s):G. S. Tlyustangelov
Index of UDK:532.517
DOI:
Title:Evolution of perturbations in spreading viscous cylindric layer, subject to rotation and axial motion
Keywords:

spreading, viscous fluid, flow, perturbation, axial motion, integral relations method, Friedrichs inequalities, stability bounds.

Abstracts:

An evolution in time of 3D picture of perturbations imposed on a radial-rotational spreading of a viscous cylindric layer moving axially is investigated. The parameters of the main deformation depend on both time and radial coordinate. A motion of the boundaries of the cylindric layer is given in the main process as well as in perturbed one. On the basis of the integral relations method [1], [2] applied to the linearized problem in terms of perturbations some sufficient estimates of exponential stability of the main process are derived.

The contact details of authors:

Tlyustangelov Galim Sultanovich

e-mail: gs_angelov@mail.ru, Postgraduate Student, Department of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia.

Pages:12-23
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