English

Incompressible limit of a compressible Oldroyd-B model

Analysis of PDEs 2022-04-07 v1

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.

Keywords

Cite

@article{arxiv.2204.02894,
  title  = {Incompressible limit of a compressible Oldroyd-B model},
  author = {Sili Liu and Yingshan Chen},
  journal= {arXiv preprint arXiv:2204.02894},
  year   = {2022}
}