Rheological Vinogradov-Pokrovski Model. Lyapunov Linear Instability of the Stationary Flows of Polymeric Fluid in an Infinite Plane Channel with Perforated Walls
摘要
We study a rheological Vinogradov-Pokrovski model for the flows of solutions and melts of incompressible viscoelastic polymeric medium in case of a flow in an infinite plane channel with perforated walls. We prove the linear Lyapunov instability of the base solution with the constant flow rate in a perturbation class, periodic with respect to the variable, changing along the channel wall.