# Global Regularity and instability for the incompressible non-viscous Oldroyd-B model

@inproceedings{Chen2021GlobalRA, title={Global Regularity and instability for the incompressible non-viscous Oldroyd-B model}, author={Zhi Chen and Weikui Ye and Zhaoyang Yin}, year={2021} }

In this paper, we consider the 2-dimensional non-viscous Oldroyd-B model. In the case of the ratio equal 1 (α = 0), it is a difficult case since the velocity field u(t, x) is no longer decay. Fortunately, by observing the exponential decay of the stress tensor τ(t, x), we succeeded in proving the global existence for this system with some large initial data. Moreover, we give an unsteady result: when the ratio is close to 1 (a→ 0), the system is not steady for large time. This implies an…

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