Regularity of solutions to the Navier-Stokes equations evolving from small data in BMO^{-1}

Pierre Germain, Nataša Pavlović, Gigliola Staffilani

In 2001, H. Koch and D. Tataru proved the existence of global in time solutions to the incompressible Navier-Stokes equations in ${\mathbb{R}}^d$ for initial data small enough in $…