On blow-up "twistors" for the Navier--Stokes equations in R³: a view from reaction-diffusion theory
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🧮 math.AP
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blow-upnavier--stokesvariousanalysisangularaspectsdiscussedenclosed
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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.
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