Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles

Andrei Ludu

doi:10.2991/jnmp.2008.15.s2.11

Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles

Andrei Ludu

Northwestern State University, Louisiana

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.

Original language	American English
Journal	Journal of Nonlinear Mathematical Physics
Volume	15
DOIs	https://doi.org/10.2991/jnmp.2008.15.s2.11
State	Published - 2008
Externally published	Yes

Keywords

hydrodynamics
fibre bundle
Lagrangian
Eulerian
fluids

Disciplines

Fluid Dynamics
Geometry and Topology

Access to Document

10.2991/jnmp.2008.15.s2.11License: Unspecified

Cite this

@article{855ab20d9a8941218e4092aa57255bfa,

title = "Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles",

abstract = " We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.",

keywords = "hydrodynamics, fibre bundle, Lagrangian, Eulerian, fluids",

author = "Andrei Ludu",

year = "2008",

doi = "10.2991/jnmp.2008.15.s2.11",

language = "American English",

volume = "15",

journal = "Journal of Nonlinear Mathematical Physics",

issn = "1776-0852",

}

TY - JOUR

T1 - Fiber Bundle Description of Flow and Nonlinear Hydrodynamics on Circles

AU - Ludu, Andrei

PY - 2008

Y1 - 2008

N2 - We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.

AB - We introduce a differential geometry description of the path lines, stream lines and particles contours in hydrodynamics. We present a generalized form of a Korteweg-de Vries type of equation for the exterior of a circle. Nonlinearities from the boundary conditions, surface tension and the Euler equations are taken into account, but the flow is considered inviscid and irrotational. For the circular case we describe the traveling waves shapes, solitons and the particles trajectories.

KW - hydrodynamics

KW - fibre bundle

KW - Lagrangian

KW - Eulerian

KW - fluids

U2 - 10.2991/jnmp.2008.15.s2.11

DO - 10.2991/jnmp.2008.15.s2.11

M3 - Article

SN - 1776-0852

VL - 15

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

ER -