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Global Existence of Classical Solutions for the Two-Dimensional Oldroyd Model via the Incompressible Limit
Zhen Lei, Yi Zhou
Source abstract
In this paper, we will study the Oldroyd model describing fluids with viscoelastic properties. Global classical solutions for the two-dimensional incompressible Oldroyd model with small initial displacements are shown to exist via the incompressible limit. The main difficulty is the lack of the damping mechanism on the deformation tensor.
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