Approximation of solutions to nonstationary Stokes system
We propose a fast method for high order approximations of the solution of the Cauchy problem for the linear non-stationary Stokes system in R^3 in the unknown velocity u and kinematic pressure P. The density f(x,t) and the divergence vector-free initial value g(x) are smooth and rapidly decreasing as |x| tends to infinity. We construct the vector u in the form u=u1+u2 where u1 solves a system of homogeneous heat equations and u2 solves a system of non-homogeneous heat equations with right-hand side f-graf P. Moreover, P=-L( div f)) where L denotes the harmonic potential.