Y.-G. Wang

Incompressible generalised Navier–Stokes equations with supercritical initial data: almost sure existence and optimal decay rates of global weak solutions

In this paper, we study the initial value problem of the incompressible generalised Navier–Stokes equations with fractional dissipation (−Δ)αu in Rd, where d⩾2, and the initial data lies in the supercritical regime of negative order Sobolev spaces H˙s(Rd) with s<0. By employing a probabilistic approach of data randomis...