Lagrangian particle paths and ortho-normal quaternion frames
From MaRDI portal
Publication:3593297
DOI10.1088/0951-7715/20/7/010zbMath1118.76017arXivnlin/0607020OpenAlexW2113545909MaRDI QIDQ3593297
Darryl D. Holm, John D. Gibbon
Publication date: 20 July 2007
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0607020
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Gas dynamics (general theory) (76N15) Magnetohydrodynamics and electrohydrodynamics (76W05) Turbulence (76F99) Incompressible inviscid fluids (76B99) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Related Items (8)
A geometrical and physical interpretation of quaternionic generalized magnetic flux tubes ⋮ Modeling the pressure Hessian and viscous Laplacian in turbulence: Comparisons with direct numerical simulation and implications on velocity gradient dynamics ⋮ Representation of solutions to linear quaternion differential equations with delay ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ The three-dimensional Euler equations: Where do we stand? ⋮ Statistical geometry in homogeneous and isotropic turbulence ⋮ Unnamed Item ⋮ The gradient of potential vorticity, quaternions and an orthonormal frame for fluid particles
This page was built for publication: Lagrangian particle paths and ortho-normal quaternion frames