Incompressible Navier-Stokes equations with smooth and square-integrable initial data: a pathological example

Details Incompressible Navier-Stokes equations with smooth and square-integrable initial data: a pathological example Incompressible Navier-Stokes equations with smooth and square-integrable initial data: a pathological example

2007-08-20

arxiv.org/abs/0708.2674v5

Physics

Mathematical Physics

Scientific paper

This paper shows that there exists a finite-time singularity for the
incompressible Navier-Stokes equations. The construction is straightforward. By
assuming a special structure from the pressure field and assuming that the
velocity field has a zero curl and some other functional assumptions the result
follows. The initial data is smooth and square-integrable.

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