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- W2911948602 abstract "We consider the Dirichlet problem for a compressible two-fluid model in three dimensions, and obtain the global existence of weak solution with large initial data and independent adiabatic constants Gamma,gamma>=9/5. The pressure functions are of two components solving the continuity equations. Two typical cases for the pressure are considered, which are motivated by the compressible two-fluid model with possibly unequal velocities [3] and by a limiting system from the Vlasov-Fokker-Planck/compressible Navier-Stokes system [27] (see also some other relevant models like compressible MHD system for two-dimensional case [24] and compressible Oldroyd-B model with stress diffusion [1]). The lack of enough regularity for the two densities turns out some essential difficulties in the two-component pressure compared with the single-phase model, i.e., compressible Navier-Stokes equations. Some new ideas along with some new estimates are therefore necessary. In this paper, the global existence theory does not require any domination conditions for the initial densities, which implies that transition to each single-phase flow is allowed." @default.
- W2911948602 created "2019-02-21" @default.
- W2911948602 creator A5084574747 @default.
- W2911948602 date "2019-02-14" @default.
- W2911948602 modified "2023-09-27" @default.
- W2911948602 title "Global existence of weak solution to compressible two-fluid model without any domination condition in three dimensions" @default.
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