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Linear instability of the polymeric fluid flow with constant flow rate in an infinite plane channel with perforated walls Conference attendances

Language Английский
Participant type Стендовый
URL http://u.uma.es/cFP/HYP2022/
Conference XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications
20-24 Jun 2022 , Малага
Authors Tkachev Dmitrii Leonidovich 1,2
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University

Abstract: In this study, we consider a rheological Pokrovski-Vinogradov model of the flows of solutions and melts of an incopressible viscoelastic polymeric medium for a flow in an infinite plane channel with perforated walls. we prove the linear Lyapunov instability of the base solution with a constant flow rate in a perturbation class, which is periodic with respect to the variable, changing along the channel wall.
Cite: Tkachev D.L.
Linear instability of the polymeric fluid flow with constant flow rate in an infinite plane channel with perforated walls
XVIII International Conference on Hyperbolic Problems: Theory, Numerics, and Applications 20-24 Jun 2022