Nonexistence conjecture for radially symmetric backward self-similar solutions

Consider the compressible Navier–Stokes equations referred to as, and backward self-similar solutions with radial symmetry. Nonexistence conjecture. There are no backward self-similar solutions of the compressible Navier–Stokes equations with radial symmetry. The statement is motivated by numerical simulations in which solutions arising from prescribed values at a positive radius diverge quickly; the supplied text does not provide an analytical proof or a resolution of the conjecture.