A mixed boundary value problem for Chaplygin's hodograph equation

Li Liu; Meng Xu; Hairong Yuan

doi:10.1016/j.jmaa.2014.09.075

A mixed boundary value problem for Chaplygin's hodograph equation

Li Liu
, Meng Xu^*
, Hairong Yuan

^*此作品的通讯作者

数学科学学院

Shanghai University of International Business and Economics
Nanjing University of Science and Technology

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In this paper we will prove existence, uniqueness and regularity of a classical solution to a mixed boundary value problem for Chaplygin's hodograph equation, which is degenerate elliptic on a part of the boundary. This problem is derived from the study of detached bow shock ahead of a straight ramp in uniform supersonic flows in the hodograph plane. The proof depends on Perron's method and some techniques from linear elliptic equations.

源语言	英语
页（从-至）	60-75
页数	16
期刊	Journal of Mathematical Analysis and Applications
卷	423
期	1
DOI	https://doi.org/10.1016/j.jmaa.2014.09.075
出版状态	已出版 - 2015

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title = "A mixed boundary value problem for Chaplygin's hodograph equation",

abstract = "In this paper we will prove existence, uniqueness and regularity of a classical solution to a mixed boundary value problem for Chaplygin's hodograph equation, which is degenerate elliptic on a part of the boundary. This problem is derived from the study of detached bow shock ahead of a straight ramp in uniform supersonic flows in the hodograph plane. The proof depends on Perron's method and some techniques from linear elliptic equations.",

keywords = "Chaplygin's equation, Degenerate elliptic equation, Existence, Perron's method, Uniqueness",

author = "Li Liu and Meng Xu and Hairong Yuan",

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T1 - A mixed boundary value problem for Chaplygin's hodograph equation

AU - Liu, Li

AU - Xu, Meng

AU - Yuan, Hairong

PY - 2015

Y1 - 2015

N2 - In this paper we will prove existence, uniqueness and regularity of a classical solution to a mixed boundary value problem for Chaplygin's hodograph equation, which is degenerate elliptic on a part of the boundary. This problem is derived from the study of detached bow shock ahead of a straight ramp in uniform supersonic flows in the hodograph plane. The proof depends on Perron's method and some techniques from linear elliptic equations.

AB - In this paper we will prove existence, uniqueness and regularity of a classical solution to a mixed boundary value problem for Chaplygin's hodograph equation, which is degenerate elliptic on a part of the boundary. This problem is derived from the study of detached bow shock ahead of a straight ramp in uniform supersonic flows in the hodograph plane. The proof depends on Perron's method and some techniques from linear elliptic equations.

KW - Chaplygin's equation

KW - Degenerate elliptic equation

KW - Existence

KW - Perron's method

KW - Uniqueness

UR - https://www.scopus.com/pages/publications/84923004903

U2 - 10.1016/j.jmaa.2014.09.075

DO - 10.1016/j.jmaa.2014.09.075

M3 - 文章

AN - SCOPUS:84923004903

SN - 0022-247X

VL - 423

SP - 60

EP - 75

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

A mixed boundary value problem for Chaplygin's hodograph equation

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