Singularity formation for complex solutions of the 3D incompressible Euler equations
type: Item
instance of: scholarly article
title: Singularity formation for complex solutions of the 3D incompressible Euler equations
zbMATH Open document ID: 0789.76013
DOI: 10.1016/0167-2789(93)90195-7
author: Russel Caflisch
published in: Physica D
publication date: 1994-06-13T00:00:00Z
Mathematics Subject Classification ID: 76B47
Mathematics Subject Classification ID: 35Q35
zbMATH DE Number: 493555
zbMATH Keywords: traveling waves solutions
zbMATH Keywords: Moore's approximation method
zbMATH Keywords: axisymmetric flow
zbMATH Keywords: forward cascade of energy
zbMATH Keywords: asymptotic properties
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: singularity
describes a project that uses: MPFUN
MaRDI profile type: Publication
full work available at URL: 0167-2789(93)90195-7
OpenAlex ID: W1999125246
cites work: The vortex ring merger problem at infinite reynolds number
cites work: Singularity formation during Rayleigh–Taylor instability
cites work: Q4142124
cites work: Remarks on the breakdown of smooth solutions for the 3-D Euler equations
cites work: Vorticity intensification and transition to turbulence in the three- dimensional Euler equations
cites work: Finite-time vortex singularity in a model of three-dimensional Euler flows
cites work: Small-scale structure of the Taylor–Green vortex
cites work: Multi‐valued solutions and branch point singularities for nonlinear hyperbolic or elliptic systems
cites work: The collapse of an axi-symmetric, swirling vortex sheet
cites work: Long time existence for a slightly perturbed vortex sheet
cites work: Singular Solutions and Ill-Posedness for the Evolution of Vortex Sheets
cites work: A Localized Approximation Method for Vortical Flows
cites work: Blow-up of unsteady two-dimensional Euler and Navier-Stokes solutions having stagnation-point form
cites work: The evolution of a turbulent vortex
cites work: Dynamics of a complex interface
cites work: Hamiltonian maps in the complex plane
cites work: SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
cites work: Q4273527
cites work: Desingularization of periodic vortex sheet roll-up
cites work: A study of singularity formation in a vortex sheet by the point-vortex approximation
cites work: The spontaneous appearance of a singularity in the shape of an evolving vortex sheet
cites work: Q3820237
cites work: Collapsing solutions to the 3-D Euler equations
cites work: Development of singular solutions to the axisymmetric Euler equations
cites work: A note on the stability of a cylindrical vortex sheet
cites work: EXACT SOLUTIONS FOR THE GROWTH OF FINGERS FROM A FLAT INTERFACE BETWEEN TWO FLUIDS IN A POROUS MEDIUM OR HELE-SHAW CELL
cites work: A study of singularity formation in vortex-sheet motion by a spectrally accurate vortex method
cites work: Dynamical aspects of vortex reconnection of perturbed anti-parallel vortex tubes
cites work: Collapse and amplification of a vortex filament
cites work: Q4098093
cites work: Tracing complex singularities with spectral methods
cites work: Evolution of Hele-Shaw interface for small surface tension
cites work: Singularities in the classical Rayleigh-Taylor flow: formation and subsequent motion
description: scientific article; zbMATH DE number 493555