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Global Classical Solution for a Three-dimensional Viscous Liquid-gas Two-fluid Flow Model with Vacuum

Global Classical Solution for a Three-dimensional Viscous Liquid-gas Two-fluid Flow Model with Vacuum
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摘要 This is a continuation of the paper （J. Math. Phys., 52（2011）, 093102）. We consider the Cauchy problem to the three-dimensional viscous liquid-gas two-fluid flow model. The global existence of classical solution is proved, where the initial vacuum is allowed. This is a continuation of the paper （J. Math. Phys., 52（2011）, 093102）. We consider the Cauchy problem to the three-dimensional viscous liquid-gas two-fluid flow model. The global existence of classical solution is proved, where the initial vacuum is allowed.
作者 Lei YAO Jing YANG Zhen-hua GUO
机构地区 School of Mathematics and Center for Nonlinear Studies
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2014年第4期989-1006,共18页 应用数学学报（英文版）
基金 supported by the National Natural Science Foundation of China#11101331,11331005,FANEDD#201315 Science and Technology Program of Shaanxi Province#2013KJXX-23 supported by Grants YZZ13074 from Northwest University of China National Natural Science Foundation of China#11201371 supported by the National Natural Science Foundation of China(NNSFC) Grant No.11331005 and SRDPC 20136101110015
关键词 Viscous liquid-gas two-fluid flow model classical solution VACUUM Viscous liquid-gas two-fluid flow model classical solution vacuum
分类号 O35 [理学—流体力学]
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参考文献24

  • 1Brennen, C.E. Fundamentals of Multiphase Flow. Cambridge University Press, New York, 2005.
  • 2Bresch, D., Desjardins, B., Ghidaglia, J.-M., Grenier, E. Global weak solutions to a generic tow-fluid model. Arch. Ration. Mech. Anal., 196: 599-629 (2010).
  • 3Bresch, D., Huang, X.D., Li, J. Global weak solutions to one-dimensional non-conservative viscous com?pressible two-phase system. Commun. Math. Phys., 1O.1007/s00220-011-1379-6 (2011).
  • 4Cho, Y., Choe, H.J., Kim, H. Unique solvability of the initial boundary value problems for compressible viscous fluids. J. Math. Pures. Appl., 83: 243-275 (2004).
  • 5Cho, Y., Kim, H. On classical solution of the compressible Navier-Stokes equations with nonnegative nitial densities. Manuscript Math., 120: 91-129 (2006).
  • 6Cui, H.B., Wen, H.Y., Yin, H.Y. Global classical solutions of viscous liquid-gas two-phase flow model. Math. Methods Appl. Sci., 36: 567-583 (2013).
  • 7Evje, S., Flatten, T., Friis, H.A. Global weak solutions for a viscous liquid-gas model with transition to single-phase gas flow and vacuum. Nonlinear Anal., 70: 3864-3886 (2009).
  • 8Evje, S., Karlsen, K.H. Global existence of weak solutions for a viscous two-phase model. J. Differential Equations, 245, 2660-2703 (2008).
  • 9Evje, S., Karlsen, K.H. Global weak solutions for a viscous liquid-gas model with singular pressure law. Commun. Pure Appl. Anal., 8: 1867-1894 (2009).
  • 10Guo, Z.H., Yang, J., Yao, L. Global strong solution for a three-dimensional viscous liquid-gas two-phase flow model with vacuum. J. Math. Phys., 52: 093102 (2011).
Acta Mathematicae Applicatae Sinica
2014年 第4期

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