A Solvability criterion for Navier-Stokes equations in high dimensions

T. M. Viswanathan, G. M. Viswanathan

We define the Ladyzhenskaya-Lions exponent $α_{\rm {\tiny \sc l}} (n)=({2+n})/4$ for Navier-Stokes equations with dissipation $-(-\Delta {)}^{\alpha }$ in ${\mathbb{R}}^n$, for all $n\ge 2$. We revie…