A solution to the Navier-Stokes inequality with an internal singularity
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- Scheffer, V. Commun.Math. Phys. (1985) 101: 47. doi:10.1007/BF01212356
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We consider weak solutions to the time dependent Navier-Stokes equations of incompressible fluid flow in three dimensional space with an external force that always acts against the direction of the flow. We show that there exists a solution with an internal singularity. The speed of the flow reaches infinity at this singular point. In addition, the solution has finite kinetic energy.