On steady irrotational flow of incompressible ideal fluid in a circular domain with free surface

被引：0

作者：

Iguchi T. ^{[1
]}

机构：

[1] Graduate School of Mathematics, Kyushu University, 812-8581 Fukuoka, Hakozaki

来源：

Annali dell’Università di Ferrara | 2000年 / 46卷 / 1期

关键词：

Free Surface; Solitary Wave; Bifurcation Diagram; Froud Number; Free Boundary Problem;

D O I：

10.1007/BF02837289

中图分类号：

学科分类号：

摘要：

We study irrotational steady flows of an incompressible ideal fluid in a two-dimensional circular domain, with free surface. Stationary solutions have been studied as bifurcation problems assuming the obstacle exactly circular, and in the presence of surface tension. In this paper, disregarding the surface tension, for non circular obstacles, we analize the set of solutions close to bifurcation points letting the Froud number as driving parameter. © 2000 Università degli Studi di Ferrara.

引用

页码：35 / 60

页数：25

共 50 条

[1] On steady irrotational flow of incompressible ideal fluid in a circular domain with free surface.
Iguchi, T
ANNALES OF THE UNIVERSITY OF FERRA, SECTION VII, MATHEMATICAL SCIENCES, 2000, 46 : 35 - 60
[2] On the irrotational flow of incompressible ideal fluid in a circular domain with free surface
Iguchi, T
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1998, 34 (06) : 525 - 565
[3] The asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain
Morgulis, AB
Yudovich, VI
DOKLADY PHYSICS, 2001, 46 (10) : 736 - 739
[4] The asymptotic stability of a steady flow of an ideal incompressible fluid through a permeable domain
A. B. Morgulis
V. I. Yudovich
Doklady Physics, 2001, 46 : 736 - 739
[5] Free surface motion of an incompressible ideal fluid
Ogawa, M
MATHEMATISCHE ANNALEN, 2006, 335 (01) : 47 - 77
[6] Free surface motion of an incompressible ideal fluid
Masao Ogawa
Mathematische Annalen, 2006, 335 : 47 - 77
[7] On the Arnold stability of a solid in a steady flow of an ideal incompressible fluid
Vladimirov, VA
Ilin, KI
HYDRODYNAMICS: THEORY AND APPLICATIONS, VOLS 1 AND 2, 1996, : 1361 - 1366
[8] On the Arnold Stability of a Solid in a Plane Steady Flow of an Ideal Incompressible Fluid
V.A. Vladimirov
K.I. Ilin
Theoretical and Computational Fluid Dynamics, 1998, 10 : 425 - 437
[9] On the Arnold stability of a solid in a plane steady flow of an ideal incompressible fluid
Vladimirov, VA
Ilin, KI
THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 1998, 10 (1-4) : 425 - 437
[10] Free boundary problem for an incompressible ideal fluid with surface tension
Ogawa, M
Tani, A
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2002, 12 (12): : 1725 - 1740

← 1 2 3 4 5 →