On the Weak Solvability of a Mathematical Model Describing
the Motion of Polymer Solutions
with Memory
摘要
Abstract
The paper considers the weak solvability of the initial–boundary value problem describingthe motion of weakly concentrated aqueous polymer solutions taking into account the memory ofthe fluid. In this model, the memory is considered along the trajectory of fluid particlesdetermined by the velocity field. The topological approximation approach and the theory ofregular Lagrangian flows are used.