Chaplygin equation in three-dimensional non-constant isentropic flow - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. III
type: Item
instance of: scholarly article
title: Chaplygin equation in three-dimensional non-constant isentropic flow - The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. III
zbMATH Open document ID: 0635.76065
DOI: 10.1007/BF01900608
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: This is a continuation of the author's earlier work [part I, ibid. 7, 391-411 (1986; Zbl 0627.76032) and part II, ibid. 7, 557-562 (1986; Zbl 0627.76033); for part IV see this Zbl 0635.76109]. This paper deals with the Chaplygin equations in both isentropic incompressible and compressible fluid flows. The theory of functions of complex variable under the Dirac-Pauli representation is used to solve the equations of motion. It is shown that the paper leads to the solution of general problems. The solution has been expressed in terms of hypergeometric functions. Result are difficult to understand due to lack of adequate physical discussions.
Mathematics Subject Classification ID: 76N10
zbMATH DE Number: 4035436
zbMATH Keywords: Chaplygin equations
zbMATH Keywords: isentropic incompressible and compressible fluid flows
zbMATH Keywords: Dirac-Pauli representation
zbMATH Keywords: hypergeometric functions
author: Hui-chuan Shen
reviewed by: Lokenath Debnath
MaRDI profile type: Publication
cites work: The theory of functions of a complex variable under Dirac-Pauli representation and its application in fluid dynamics. I
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full work available at URL: https://doi.org/10.1007/bf01900608
OpenAlex ID: W2067101169
description: scientific article; zbMATH DE number 4035436