## Abstract

In this paper, we study a new rheological model (a modification of the well-known Pokrovskii–Vinogradov model) which is shown by computational experiments to take into account the nonlinear effects occurring during melt flows and polymer solutions in regions with complex boundary geometry. For the case where the main solution is an analogue of the Poiseuille flow in an infinite flat channel (viscoelastic polymer fluid considered), an asymptotic formula is obtained for the distribution of points of the spectrum of the linear problem. It is shown that small perturbations have the additional property of periodicity in the variable that runs along the axis of the channel.

Original language | English |
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Pages (from-to) | 992-1003 |

Number of pages | 12 |

Journal | Journal of Applied Mechanics and Technical Physics |

Volume | 59 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1 Nov 2018 |

## Keywords

- Lyapunov stability
- Poiseuille type flow
- polymer medium
- rheological model