  In this paper, we obtain explicit solutions to the Navier-Stokes equation and
the Euler equation. For any initial velocity u0 and the force vector f, exact
solutions can be explicitly solved as series, where the coefficients are all
known functions determined only by u0 and f. Explicit solutions of this paper
can help in global regularity studies in the Navier-Stokes equation and the
Euler equation. We admit that the convergence of these series still need to be
proved before completely solving the existence of the Navier-Stokes equation
and the Euler equation.
