Two family of explicit blowup solutions for 3D incompressible Navier-Stokes equations

Abstract

In this paper, we give two family of explicit blowup solution for $3$D incompressible Navier-Stokes equations in $\RR^3$. Here one family of solutions admit the smooth initial data, and the initial data of another family of solutions are not smooth. The energy of those solutions is infinite.

arXiv comment9 pages

References in corpus (1)

• Fine properties of self-similar solutions of the Navier-Stokes equations

Cited by in corpus (1)

• On the explicit blowup solutions for 3D incompressible Magnetohydrodynamics equations