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4 papers · 1 filter
Asymptotic stability for the inflow problem of the heat-conductive ideal gas without viscosity
Meichen Hou, Lili Fan
This paper is devoted to studying the inflow problem for an ideal polytropic model with non-viscous gas in one-dimensional half space. We showed the existence of the boundary layer…
Viscous Shock Wave to an Inflow Problem for Compressible Viscous Gas with Large Density Oscillations
Dongfen Bian, Lili Fan, Lin He +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, F. M. Huang, A. Matsumura and X. D. Shi showed tha…
Inflow Problem for the One-dimensional Compressible Navier-Stokes Equations under Large Initial Perturbation
Lili Fan, Hongxia Liu, Tao Wang +1
This paper is concerned with the inflow problem for the one-dimensional compressible Navier-Stokes equations. For such a problem, Matsumura and Nishihara showed in [A. Matsumura an…
Asymptotic stability of a composite wave of two viscous shock waves for a one-dimensional system of non-viscous and heat-conductive ideal gas
Lili Fan, Akitaka Matsumura
This paper is concerned with the asymptotic stability of a composite wave consisting of two viscous shock waves to the Cauchy problem for a one-dimensional system of heat-conductiv…