Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles

Li Liu; Hairong Yuan

doi:10.1007/s00033-010-0107-y

Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles

Li Liu
, Hairong Yuan^*

^*此作品的通讯作者

数学科学学院

Shanghai University of International Business and Economics

科研成果: 期刊稿件 › 文章 › 同行评审

5 引用（Scopus）

摘要

We prove that the spherically symmetric subsonic flows in an infinitely long straight divergent nozzle with arbitrary smooth cross-section are unique for the three-dimensional steady potential flow equation. The proof depends on an extreme principle for elliptic equations in an unbounded conical domain, under the assumption that the gradient of the solution is of order. Similar result holds for steady subsonic Euler flows in two-dimensional infinitely long straight divergent nozzles.

源语言	英语
页（从-至）	641-647
页数	7
期刊	Zeitschrift fur Angewandte Mathematik und Physik
卷	62
期	4
DOI	https://doi.org/10.1007/s00033-010-0107-y
出版状态	已出版 - 8月 2011

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title = "Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles",

abstract = "We prove that the spherically symmetric subsonic flows in an infinitely long straight divergent nozzle with arbitrary smooth cross-section are unique for the three-dimensional steady potential flow equation. The proof depends on an extreme principle for elliptic equations in an unbounded conical domain, under the assumption that the gradient of the solution is of order. Similar result holds for steady subsonic Euler flows in two-dimensional infinitely long straight divergent nozzles.",

keywords = "Bernoulli condition, Maximum principle, Nozzle, Potential flow, Subsonic flow, Unbounded domain, Uniqueness",

author = "Li Liu and Hairong Yuan",

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AU - Liu, Li

AU - Yuan, Hairong

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N2 - We prove that the spherically symmetric subsonic flows in an infinitely long straight divergent nozzle with arbitrary smooth cross-section are unique for the three-dimensional steady potential flow equation. The proof depends on an extreme principle for elliptic equations in an unbounded conical domain, under the assumption that the gradient of the solution is of order. Similar result holds for steady subsonic Euler flows in two-dimensional infinitely long straight divergent nozzles.

AB - We prove that the spherically symmetric subsonic flows in an infinitely long straight divergent nozzle with arbitrary smooth cross-section are unique for the three-dimensional steady potential flow equation. The proof depends on an extreme principle for elliptic equations in an unbounded conical domain, under the assumption that the gradient of the solution is of order. Similar result holds for steady subsonic Euler flows in two-dimensional infinitely long straight divergent nozzles.

KW - Bernoulli condition

KW - Maximum principle

KW - Nozzle

KW - Potential flow

KW - Subsonic flow

KW - Unbounded domain

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/79960796513

U2 - 10.1007/s00033-010-0107-y

DO - 10.1007/s00033-010-0107-y

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EP - 647

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

IS - 4

ER -

Uniqueness of symmetric steady subsonic flows in infinitely long divergent nozzles

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