An integral transform whose kernel is a stream function of a steady Euler flow with axisymmetry

被引：1

作者：

Nishiyama, Takahiro ^{[1
]}

机构：

[1] Fukuoka Inst Technol, Dept Mech Engn, Fukuoka 8110295, Japan

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2007年 / 58卷 / 01期

关键词：

integral transform; axisymmetric stationary Euler equations; Coulomb wave function;

D O I：

10.1007/s00033-006-0065-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new integral transform whose kernel is a Stokes stream function of an exact solution to the axisymmetric stationary Euler equations is derived with its inverse by using a Coulomb wave function. In the process of its derivation, a set of integral transforms with respect to the radial variable is also found. Each of them is different from the Hankel (the Fourier-Bessel) transform.

引用

页码：68 / 80

页数：13

共 20 条

[1] An integral transform whose kernel is a stream function of a steady Euler flow with axisymmetry
Takahiro Nishiyama
Zeitschrift für angewandte Mathematik und Physik, 2007, 58 : 68 - 80
[2] Positive integers whose Euler function is a power of their kernel function
De Koninck, J. -M.
Luca, F.
Sankaranarayanan, A.
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (01) : 81 - 96
[3] A NEW STREAM FUNCTION FORMULATION FOR THE STEADY EULER EQUATIONS
ATKINS, HL
HASSAN, HA
AIAA JOURNAL, 1985, 23 (05) : 701 - 706
[4] A SINGULAR INTEGRAL WHOSE KERNEL INVOLVES A BESSEL FUNCTION
LORCH, L
SZEGO, P
DUKE MATHEMATICAL JOURNAL, 1955, 22 (03) : 407 - 418
[5] Analytical Formula for Integral Whose Kernel Containing Error Function
Kosterin, A. V.
Skvortsov, E. V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2016, 37 (03) : 266 - +
[6] A GENERALIZED INTEGRAL TRANSFORM WITH THE KERNEL ON FUNCTION SPACE WITH RELATED TOPICS
Chung, Hyun soo
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (05) : 1253 - 1267
[7] Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function
A. A. Polosin
Differential Equations, 2017, 53 : 1145 - 1159
[8] Spectrum and eigenfunctions of the convolution operator on a finite interval with kernel whose transform is a characteristic function
Polosin, A. A.
DIFFERENTIAL EQUATIONS, 2017, 53 (09) : 1145 - 1159
[9] Stream function-vorticity-pressure potential formulation for solution of the steady euler equation
Fang, Z.
Saber, A.J.
Canadian Aeronautics and Space Journal, 1988, 34 (04): : 239 - 247
[10] Integral transform solution of boundary layer equations in stream function-only formulation
da Silva, EF
Guerrero, JSP
Cotta, RM
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 1999, 34 (01) : 51 - 61

← 1 2 →