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On the Well-Posedness of the Incompressible Viscoelastic Flows

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Abstract

In this short article, the initial value problem for the incompressible viscoelastic flows is investigated in \(\mathbb {R}^n(n=2, 3)\). Local well-posedness in nearly optimal Sobolev spaces is established.

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Acknowledgements

The work is supported in part by Plan For Scientific Innovation Talent of Henan Province (Grant No. 154100510012).

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Authors and Affiliations

  1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450011, China

    Yinxia Wang

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  1. Yinxia Wang
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Correspondence to Yinxia Wang.

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Communicated by H. Shahgholian.

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Wang, Y. On the Well-Posedness of the Incompressible Viscoelastic Flows. Bull. Iran. Math. Soc. 45, 13–22 (2019). https://doi.org/10.1007/s41980-018-0116-8

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