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

Yunjuan Jin; Aifang Qu; Hairong Yuan

doi:10.4310/CMS.2022.v20.n5.a6

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

Yunjuan Jin^*
, Aifang Qu
, Hairong Yuan

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which model hypersonic-limit inviscid flows passing twodimensional 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.

Original language	English
Pages (from-to)	1331-1361
Number of pages	31
Journal	Communications in Mathematical Sciences
Volume	20
Issue number	5
DOIs	https://doi.org/10.4310/CMS.2022.v20.n5.a6
State	Published - 2022

Keywords

Compressible euler equations
Dirac measure
Free layer
Hypersonic
Measure solution
Newton-busemann pressure law
Shock layer
Singular riemann problem
Vacuum

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10.4310/CMS.2022.v20.n5.a6

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

abstract = "We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which model hypersonic-limit inviscid flows passing twodimensional 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.",

keywords = "Compressible euler equations, Dirac measure, Free layer, Hypersonic, Measure solution, Newton-busemann pressure law, Shock layer, Singular riemann problem, Vacuum",

author = "Yunjuan Jin and Aifang Qu and Hairong Yuan",

note = "Publisher Copyright: {\textcopyright} 2022. International Press",

year = "2022",

doi = "10.4310/CMS.2022.v20.n5.a6",

language = "英语",

volume = "20",

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AU - Jin, Yunjuan

AU - Qu, Aifang

AU - Yuan, Hairong

PY - 2022

Y1 - 2022

N2 - We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which model hypersonic-limit inviscid flows passing twodimensional 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.

AB - We proposed rigorous definitions of Radon measure solutions for boundary value problems of steady compressible Euler equations which model hypersonic-limit inviscid flows passing twodimensional 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.

KW - Compressible euler equations

KW - Dirac measure

KW - Free layer

KW - Hypersonic

KW - Measure solution

KW - Newton-busemann pressure law

KW - Shock layer

KW - Singular riemann problem

KW - Vacuum

UR - https://www.scopus.com/pages/publications/85131407346

U2 - 10.4310/CMS.2022.v20.n5.a6

DO - 10.4310/CMS.2022.v20.n5.a6

M3 - 文章

AN - SCOPUS:85131407346

SN - 1539-6746

VL - 20

SP - 1331

EP - 1361

JO - Communications in Mathematical Sciences

JF - Communications in Mathematical Sciences

IS - 5

ER -

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

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Keywords

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