Research output: Contribution to journal › Article › peer-review
Couette Flow of a Viscoelastic Maxwell-Type Medium with Two Relaxation Times. / Liapidevskii, V. Yu.
In: Proceedings of the Steklov Institute of Mathematics, Vol. 300, No. 1, 01.01.2018, p. 137-148.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Couette Flow of a Viscoelastic Maxwell-Type Medium with Two Relaxation Times
AU - Liapidevskii, V. Yu
N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd.
PY - 2018/1/1
Y1 - 2018/1/1
N2 - A Couette flow of a viscoelastic medium is considered that is described by the Johnson–Segalman–Oldroyd model with two relaxation times. The development of singularities related to the appearance of internal discontinuities is studied both analytically and numerically within one-dimensional nonstationary hyperbolic models of viscoelastic Maxwell-type media. A numerical model for calculating nonstationary one-dimensional discontinuous solutions is constructed, discontinuous solutions are studied, and the hysteresis phenomenon, i.e., the dependence of the structure of a steady Couette flow on the prehistory of its formation, is analyzed.
AB - A Couette flow of a viscoelastic medium is considered that is described by the Johnson–Segalman–Oldroyd model with two relaxation times. The development of singularities related to the appearance of internal discontinuities is studied both analytically and numerically within one-dimensional nonstationary hyperbolic models of viscoelastic Maxwell-type media. A numerical model for calculating nonstationary one-dimensional discontinuous solutions is constructed, discontinuous solutions are studied, and the hysteresis phenomenon, i.e., the dependence of the structure of a steady Couette flow on the prehistory of its formation, is analyzed.
UR - http://www.scopus.com/inward/record.url?scp=85047568502&partnerID=8YFLogxK
U2 - 10.1134/S008154381801011X
DO - 10.1134/S008154381801011X
M3 - Article
AN - SCOPUS:85047568502
VL - 300
SP - 137
EP - 148
JO - Proceedings of the Steklov Institute of Mathematics
JF - Proceedings of the Steklov Institute of Mathematics
SN - 0081-5438
IS - 1
ER -
ID: 13633197