Analytical solutions to the Navier-Stokes equations for non-Newtonian fluid

摘要

The pressureless Navier-Stokes equations for non-Newtonian fluid are studied.The analytical solutions with arbitrary time blowup,in radial symmetry,are constructed in this paper.With the previous results for the analytical blowup solutions of the N-dimensional(N ≥ 2) Navier-Stokes equations,we extend the similar structure to construct an analytical family of solutions for the pressureless Navier-Stokes equations with a normal viscosity term ▽·(μ(ρ)|▽ u|α▽ u).