郝成春的个人主页 | Chengchun HAO's Homepage
研究员、博士生导师,中国科学院数学与系统科学研究院 数学研究所 | Professor, Institute of Mathematics, AMSS, CAS
Well-Posedness for a Multidimensional Viscous Liquid-Gas Two-Phase Flow Model
Chengchun Hao, Hai-Liang Li
SIAM Journal on Mathematical Analysis, Volume 44, pp 1304–1332, 2012.
Abstract:The Cauchy problem of a multidimensional ($d\geqslant 2$) compressible viscous liquid-gas two-phase flow model is studied in this paper. We investigate the global existence and uniqueness of the strong solution for the initial data close to a stable equilibrium and the local-in-time existence and uniqueness of the solution with general initial data in the framework of Besov spaces. A continuation criterion is also obtained for the local solution.