期刊论文

Zhu, Changjiang

英文

SIAM JOURNAL ON MATHEMATICAL ANALYSIS

0036-1410

2014

46

2

1633-1650

10.1137/130942231

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071057, 11271052, 11101331, 11331005, 11071093]; Tian Yuan Special Foundation [11226029]; FANEDDFoundation for the Author of National Excellent Doctoral Dissertation of China [201315]; Science and Technology Program of Shaanxi Province [2013KJXX-23]; Program for Changjiang Scholars and Innovative Research Team in UniversityProgram for Changjiang Scholars & Innovative Research Team in University (PCSIRT) [IRT13066]; Ministry of Education of ChinaMinistry of Education, China [20100144110001]; Special Fund for Basic Scientific Research of Central Colleges [CCNU12C01001]

本校为通讯机构

In this paper, we consider the three-dimensional isentropic compressible fluid models of Korteweg type, called the compressible Navier-Stokes-Korteweg system. We mainly present the vanishing capillarity limit of the smooth solution to the initial value problem. Precisely, we first establish the uniform estimates of the global smooth solution with respect to the capillary coefficient κ. Then by the Lions-Aubin lemma, we show that the unique smooth solution of the three-dimensional Navier-Stokes-Korteweg system converges globally in time to the smooth solution of the three-dimensional Navi...