Global well-posedness of 3-D inhomogeneous Navier–Stokes system with ill-prepared initial data
Ping Zhang
Chinese Academy of Sciences, Beijing, ChinaZhifei Zhang
Peking University, Beijing, China
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Abstract
In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier–Stokes system with ill-prepared initial data of the form
for any , and being sufficiently small. This result improves the global well-posedness result for so-called well-prepared initial data, which corresponds to the case of .
Cite this article
Ping Zhang, Zhifei Zhang, Global well-posedness of 3-D inhomogeneous Navier–Stokes system with ill-prepared initial data. Rev. Mat. Iberoam. 34 (2018), no. 1, pp. 355–395
DOI 10.4171/RMI/988