A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum

A blow-up criterion of strong solution to a 3D viscous liquid–gas two-phase flow model with vacuum
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DOI:
10.1016/j.matpur.2011.09.005
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发表时间:
2012-03
期刊:
Journal de Mathématiques Pures et Appliquées
影响因子:
--
通讯作者:
Huanyao Wen;Lei Yao;Changjiang Zhu
Huanyao Wen;Lei Yao;Changjiang Zhu
中科院分区:
其他
文献类型:
--
作者:
Huanyao Wen;Lei Yao;Changjiang Zhu

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In this paper, we get a unique local strong solution to a 3D viscous liquid–gas two-phase flow model in a smooth bounded domain. Besides, a blow-up criterion of the strong solution for 253μ>λ is obtained. The method can be applied to study a blow-up criterion of the strong solution to Navier–Stokes equations for 253μ>λ, which improves the corresponding result about Navier–Stokes equations in Sun et al. (2011) [15] where 7μ>λ. Moreover, all the results permit the appearance of vacuum.