In this study, we consider a rheological Pokrovski–Vinogradov model of the flows of solutions and melts of an incompressible 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 and changing along the channel wall.
- Base solution
- Incompressible viscoelastic polymeric medium
- Infinite plane channel with perforated walls
- Linear Lyapunov instability
- Rheological correlation
- 1.01 MATHEMATICS