1209.1825 (A. G. Ramm)

Large-time behavior of the weak solution to 3D Navier-Stokes equations    [PDF]

A. G. Ramm

The weak solution to the Navier-Stokes equations in a bounded domain $D \subset \mathbb{R}^3$ with a smooth boundary is proved to be unique provided that it satisfies an additional requirement. This solution exists for all $t \geq 0$. In a bounded domain $D$ the solution decays exponentially fast as $t\to \infty$ if the force term decays at a suitable rate.

View original: http://arxiv.org/abs/1209.1825