WELL-POSEDNESS FOR A MULTIDIMENSIONAL VISCOUS LIQUID-GAS TWO-PHASE FLOW MODEL~?

摘要

The Cauchy problem of a multidimensional (d≥ 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.