TWO DIMENSIONAL SUBSONIC AND SUBSONIC-SONIC SPIRAL FLOWS OUTSIDE A POROUS BODY  

作　　者：Shangkun WENG Zihao ZHANG 翁上昆;张子豪(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China)

机构地区：[1]School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China

出　　处：《Acta Mathematica Scientia》2022年第4期1569-1584,共16页数学物理学报（B辑英文版）

基　　金：partially supported by National Natural Science Foundation of China(11701431,11971307,12071359)。

摘　　要：In this paper,we investigate two dimensional subsonic and subsonic-sonic spiral flows outside a porous body.The existence and uniqueness of the subsonic spiral flow are obtained via variational formulation,which tends to a given radially symmetric subsonic spiral flow at far field.The optimal decay rate at far field is also derived by Kelvin ’s transformation and some elliptic estimates.By extracting spiral subsonic solutions as the approximate sequences,we obtain the spiral subsonic-sonic limit solution by utilizing the compensated compactness.The main ingredients of our analysis are methods of calculus of variations,the theory of second-order quasilinear equations and the compensated compactness framework.

关 键 词：Subsonic spiral flows Euler equations subsonic-sonic limit a porous body 

分 类 号：O354[理学—流体力学]