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^*

^*此作品的通讯作者

数学科学学院

Nanjing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

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.

源语言	英语
页（从-至）	2818-2829
页数	12
期刊	Applicable Analysis
卷	97
期	16
DOI	https://doi.org/10.1080/00036811.2017.1392016
出版状态	已出版 - 10 12月 2018

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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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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

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

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