摘要
该文研究由TSD方程刻画的超音速流越过弯曲坡面的反问题.该文将确定一个弯曲的坡面,使得超音速流越过它时产生的激波在给定的位置.这类问题在航空工业领域应用广泛.在合适的假设条件下,运用黎曼不变量和Lax变换,通过解一个广义柯西问题,该文得到上述问题解的整体存在性及唯一性.
The inverse problem for the supersonic plane flow described by TSD equation pasta curved wedge is considered,For a uniform supersonic oncoming flow,under the hy pothesisthat the position of the shock is given,we will globally determine the curved wedge.This kindof problem plays an important role in the aviation industry.Under suitable assumptions,withthe help of Riemann invariants and Lax transform,by solving a generalized Cauchy problem,the global existence and uniqueness for the above.mentioned problem is established.
作者
王丽
Wang Li(Department of Mathematics and Physics,Shanghai Dianji University,Shanghai 201306)
出处
《数学物理学报（A辑）》
CSCD
北大核心
2018年第4期679-686,共8页
Acta Mathematica Scientia
基金
上海电机学院学科建设项目(16JCXK02)~~
