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Interface Behavior of Compressible Navier--Stokes Equations with Vacuum
2000
SIAM Journal on Mathematical Analysis
In this paper, we study a one-dimensional motion of viscous gas near vacuum with (or without) gravity. We are interested in the case that the gas is in contact with the vacuum at a finite interval. This is a free boundary problem for the one-dimensional isentropic Navier-Stokes equations, and the free boundaries are the interfaces seperating the gas from vacuum, acrossing which the density changes continuously. The regularity and behavior of the solutions near the interfaces and expanding rate
doi:10.1137/s0036141097331044
fatcat:jax7zwz5nvdz5ofm225mydi5ui