Spontaneous symmetry breaking and finite time singularities in $d$-dimensional incompressible flow with fractional dissipation

G. M. Viswanathan, T. M. Viswanathan

We investigate the formation of singularities in the incompressible Navier-Stokes equations in $d\ge 2$ dimensions with a fractional Laplacian $|\nabla {|}^{\alpha }$. We derive analyticall…