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math.AP2024
Asymptotic stability of the composite wave of rarefaction wave and contact wave to nonlinear viscoelasticity model with non-convex flux
Zhenhua Guo, Meichen Hou, Guiqin Qiu +1
In this paper, we consider the wave propagations of viscoelastic materials, which has been derived by Taiping-Liu to approximate the viscoelastic dynamic system with fading memory…
math.AP2018
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…
math.AP2018
Asymptotic stability of the rarefaction wave for the non-viscous and heat-conductive ideal gas in half space
Meichen Hou
This paper is concerned with the impermeable wall problem for an ideal polytropic model of non-viscous and heat-conductive gas in one-dimensional half space. It is shown that the 3…