ASYMPTOTIC STABILITY OF THE RAREFACTION WAVE FOR THE NON-VISCOUS AND HEAT-CONDUCTIVE IDEAL GAS IN HALF SPACE  

作　　者：Meichen HOU 侯美晨(School of Mathematical Sciences, University of Chinese Academy of Sciences;Institute of Applied Mathematics, AMSS, Beijing 100190, China Academy of Mathematics and Systems Science, Academia Sinica)

机构地区：[1]School of Mathematical Sciences, University of Chinese Academy of Sciences [2]Institute of Applied Mathematics, AMSS, Beijing 100190, China Academy of Mathematics and Systems Science, Academia Sinica

出　　处：《Acta Mathematica Scientia》2019年第4期1195-1212,共18页数学物理学报（B辑英文版）

摘　　要：This article 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-rarefaction wave is stable under some smallness conditions. The proof is given by an elementary energy method and the key point is to do the higher order derivative estimates with respect to t because of the less dissipativity of the system and the higher order derivative boundary terms.This article 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-rarefaction wave is stable under some smallness conditions. The proof is given by an elementary energy method and the key point is to do the higher order derivative estimates with respect to t because of the less dissipativity of the system and the higher order derivative boundary terms.

关 键 词：Non-viscous impermeable problem RAREFACTION wave 

分 类 号：O[理学]