Blow-up for a semi-linear advection-diffusion system with energy conservation

Abstract

The authors study radial solutions to a model equation for the Navier-Stokes equations. It is shown that the model equation has self-similar singular solution if 5 ≤ n ≤ 9. It is also shown that the solution will blow up if the initial data is radial, large enough and n ≥ 5.

Keywords

Navier-Stokes equations / Self-similar singular solutions / Blow-up

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