Integral formulation of 3-D Navier-Stokes and longer time existence of smooth solutions

O. Costin, G. Luo, S. Tanveer

We consider the 3-D Navier-Stokes initial value problem, $$v_t-\nu \Delta v=-\mathcal{P}[v\cdot \nabla v]+f,v(x,0)=v_0(x),x\in {\mathbb{T}}^3(\ast )$$ where $\mathcal{P}$ is…