ON TWO-DIMENSIONAL STEADY HYPERSONIC-LIMIT EULER FLOWS PASSING RAMPS AND RADON MEASURE SOLUTIONS OF COMPRESSIBLE EULER EQUATIONS

被引：1

作者：

Jin, Yunjuan ^{[1
]}

Qu, Aifang ^{[2
]}

Yuan, Hairong ^{[3
,4
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Ctr Partial Differential Equat, Shanghai 200241, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China

[4] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2022年 / 20卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Compressible Euler equations; hypersonic; Newton-Busemann pressure law; shock layer; free layer; Dirac measure; measure solution; vacuum; singular Riemann problem; DELTA-SHOCK-WAVES; VANISHING PRESSURE LIMIT; RIEMANN PROBLEM; HYPERBOLIC SYSTEMS; WELL-POSEDNESS; INITIAL DATA; STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which model hypersonic-limit inviscid flows passing two-dimensional ramps, and their interactions with still gas and pressureless jets. We proved the Newton-Busemann pressure law of drags on a body in hypersonic flow, and constructed various physically interesting measure solutions with density containing Dirac measures supported on curves, also exhibited examples of blow up of certain measure solutions. This established a mathematical foundation for applications in engineering and further studies of measure solutions of compressible Euler equations.

引用

页码：1331 / 1361

页数：31

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