Geodesic
Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid
Sbornik. Mathematics, Tome 211 (2020) no. 7, pp. 901-921 Cet article a éte moissonné depuis la source Math-Net.Ru

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A generalization of the Pokrovskii-Vinogradov model for flows of solutions and melts of incompressible viscoelastic polymeric media to the case of nonisothermic flows in an infinite plane channel under the effect of a magnetic field is considered. A formal asymptotic representation is derived for the eigenvalues of the linearized problem (the basic solution is an analogue of the Poiseuille flow of a viscous fluid in the Navier-Stokes model) as their absolute value increases. A necessary condition for the asymptotic stability of an analogue of the Poiseuille shear flow is deduced. Bibliography: 22 titles.
Keywords: incompressible viscoelastic polymeric medium, rheological relation, magnetohydrodynamic flow, spectrum, Lyapunov stability.
Mots-clés : Poiseuille-type flow 
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A. M. Blokhin; D. L. Tkachev. Stability of Poiseuille-type flows in an MHD model of an incompressible polymeric fluid. Sbornik. Mathematics, Tome 211 (2020) no. 7, pp. 901-921. http://geodesic.mathdoc.fr/item/SM_2020_211_7_a0/

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