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- W4286716117 abstract "We prove the existence of a weak solution to the compressible Navier–Stokes system with singular pressure that explodes when density achieves its congestion level. This is a quantity whose initial value evolves according to the transport equation. We then prove that the “stiff pressure” limit gives rise to the two-phase compressible/incompressible system with congestion constraint describing the free interface. We prescribe the velocity at the boundary and the value of density at the inflow part of the boundary of a general bounded $$C^2$$ domain. For the positive velocity flux, there are no restrictions on the size of the boundary conditions, while for the zero flux, a certain smallness is required for the last limit passage." @default.
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- W4286716117 date "2022-07-22" @default.
- W4286716117 modified "2023-09-28" @default.
- W4286716117 title "Two-Phase Compressible/Incompressible Navier–Stokes System with Inflow-Outflow Boundary Conditions" @default.
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- W4286716117 doi "https://doi.org/10.1007/s00021-022-00715-1" @default.
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