期刊论文

Zhu, Changjiang

英文

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES

0021-7824

2012

97

3

204-229

10.1016/j.matpur.2011.09.005

National Basic Research Program of China (973 Program)National Basic Research Program of China [2011CB808002]; National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071086, 11101331, 10625105, 11071093]; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [20100481359, 201104676]; Ministry of Education of ChinaMinistry of Education, China [20100144110001]; Special Fund for Basic Scientific Research of Central Colleges [CCNU10001001]

本校为第一且通讯机构

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. Dans cet article, on démontre lʼexistence dʼune s...