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arXiv · 1805.11424

Asymptotic stability for the inflow problem of the heat-conductive ideal gas without viscosity

Meichen Hou·Lili Fan
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Abstract

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 in different areas. By employing the energy method, we also proved the unique global-in-time solution existed and the asymptotic stability of both the boundary layer and the superposition with the 3-rarefaction wave under some smallness conditions.

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Meichen Hou, Lili Fan. 2018-05-31. Asymptotic stability for the inflow problem of the heat-conductive ideal gas without viscosity. https://arxiv.org/abs/1805.11424

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