Stability of deformed channels when flowing in nonlinear-viscous mediums with the degree law of hardening / V. S. Yushutin. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2012. № 4. P. 67-70 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
A dynamical model of a power-law viscous flow past a deformable tube is considered. The problem is axisymmetric. Stationary solutions and their stability with respect to small perturbations are studied. The stability conditions are formulated in terms of nondimensional parameters.
Key words: deformable tube, power-law fluid, stability.