On the Weak Solvability of High-order Viscoelastic Fluid Dynamics Model
摘要
Abstract
A model of a viscoelastic fluid with a high-order rheological relation and a memory along the trajectories of the velocity field is under consideration. The weak solvability to the corresponding initial-boundary value problem is established. The investigation is based on the approximation of the problem under consideration by a sequence of regularized problems, and the following passage to the limit. The theory of regular Lagrangian flows is used to study trajectories of a non-smooth velocity fields.