Global uniqueness of steady subsonic Euler flows in three-dimensional ducts

Gang Xu; Hairong Yuan

doi:10.1080/00036811.2017.1392016

Global uniqueness of steady subsonic Euler flows in three-dimensional ducts

Gang Xu
, Hairong Yuan^*

^*Corresponding author for this work

School of Mathematical Sciences

Nanjing Normal University

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

Abstract

We show for certain boundary conditions, under suitable assumptions on the velocity field, the steady compressible Euler flows in three-dimensional straight ducts must be irrotational, and hence, prove global uniqueness of uniform subsonic flows in these ducts. The proof depends on careful analysis of transport equations of vorticity and theory of second-order elliptic equations in bounded or unbounded domains.

Original language	English
Pages (from-to)	2818-2829
Number of pages	12
Journal	Applicable Analysis
Volume	97
Issue number	16
DOIs	https://doi.org/10.1080/00036811.2017.1392016
State	Published - 10 Dec 2018

Keywords

35A02
35M32
76G25
Euler system
Subsonic flow
duct
elliptic-hyperbolic composite-mixed type
uniqueness

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10.1080/00036811.2017.1392016

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title = "Global uniqueness of steady subsonic Euler flows in three-dimensional ducts",

abstract = "We show for certain boundary conditions, under suitable assumptions on the velocity field, the steady compressible Euler flows in three-dimensional straight ducts must be irrotational, and hence, prove global uniqueness of uniform subsonic flows in these ducts. The proof depends on careful analysis of transport equations of vorticity and theory of second-order elliptic equations in bounded or unbounded domains.",

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AU - Yuan, Hairong

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Y1 - 2018/12/10

N2 - We show for certain boundary conditions, under suitable assumptions on the velocity field, the steady compressible Euler flows in three-dimensional straight ducts must be irrotational, and hence, prove global uniqueness of uniform subsonic flows in these ducts. The proof depends on careful analysis of transport equations of vorticity and theory of second-order elliptic equations in bounded or unbounded domains.

AB - We show for certain boundary conditions, under suitable assumptions on the velocity field, the steady compressible Euler flows in three-dimensional straight ducts must be irrotational, and hence, prove global uniqueness of uniform subsonic flows in these ducts. The proof depends on careful analysis of transport equations of vorticity and theory of second-order elliptic equations in bounded or unbounded domains.

KW - 35A02

KW - 35M32

KW - 76G25

KW - Euler system

KW - Subsonic flow

KW - duct

KW - elliptic-hyperbolic composite-mixed type

KW - uniqueness

UR - https://www.scopus.com/pages/publications/85032001725

U2 - 10.1080/00036811.2017.1392016

DO - 10.1080/00036811.2017.1392016

M3 - 文章

AN - SCOPUS:85032001725

SN - 0003-6811

VL - 97

SP - 2818

EP - 2829

JO - Applicable Analysis

JF - Applicable Analysis

IS - 16

ER -

Global uniqueness of steady subsonic Euler flows in three-dimensional ducts

Abstract

Keywords

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