论文标题

可压缩的Oldroyd-B型号的不可压缩极限

Incompressible limit of a compressible Oldroyd-B model

论文作者

Liu, Sili, Chen, Yingshan

论文摘要

在本文中,我们考虑了在三个维度上可压缩的Oldroyd-B模型的Cauchy问题。在对初始数据的一些小假设下,我们获得了具有统一规律性的强溶液的全球良好良好性。此外,我们通过不可压缩的限制为可压缩模型与相应不可压缩模型之间的链接提供了严格的理由。

In this paper, we consider the Cauchy problem for a compressible Oldroyd-B model in three dimensions. Under some smallness assumptions on the initial data, we obtain the global wellposedness of strong solution with uniform regularity. Moreover, we provide a rigorous justification for the link between the compressible model and the corresponding incompressible model via incompressible limits.

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