On bifurcation of self-similar solutions of the stationary Navier–Stokes equations

Landau solutions are special to the stationary incompressible Navier-Stokes equations in three dimensional space excluding origin. They self-similar and axisymmetric with no swirl. In fact, any smooth solution must be a solution. effort of extending this result one for class pointwise scale-invariant bound $|u(x)|\leq C_0|x|^{-1}$ some $C_0>0$, we consider discretely solutions, investigate existence such curve emanating from We prove that inclusion swirl component does not enhance bifurcation present numerical evidence bifurcation.