Incompressible limit of a compressible Oldroyd-B model

Sili Liu; Yingshan Chen

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arXiv · 2204.02894

Incompressible limit of a compressible Oldroyd-B model

Sili Liu·Yingshan Chen

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Abstract

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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Sili Liu, Yingshan Chen. 2022-04-06. Incompressible limit of a compressible Oldroyd-B model. https://arxiv.org/abs/2204.02894

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