On blow-up "twistors" for the Navier--Stokes equations in $R^3$: a view from reaction-diffusion theory
Analysis of PDEs
2009-01-28 v1
Abstract
Various formal blow-up scenarious for the Navier--Stokes equaitons in 3D are discussed. A particular interest is payed to "twistor mechanisms" based on angular logarithmic blow-up travelling waves, and to a formation of "blow-up tornado" about the singular stationary Slezkin--Landau solutions (1934--44) of a submerged jet. A survey on various related aspects of singularity analysis for nonlinear parabolic PDEs is enclosed.
Keywords
Cite
@article{arxiv.0901.4286,
title = {On blow-up "twistors" for the Navier--Stokes equations in $R^3$: a view from reaction-diffusion theory},
author = {V. A. Galaktionov},
journal= {arXiv preprint arXiv:0901.4286},
year = {2009}
}
Comments
111 pages, 3 figures