Abstract: This publication takes a mathematical approach to a general solution to the Navier-Stokes equations. The basic idea is a ‎mathematical analysis of the unipolar induction according to Faraday with the help of the vector analysis. The vector analysis ‎enables the unipolar induction and the Navier-Stokes equations to be related physically and mathematically since both ‎formulations are mathematically equivalent. Since the unipolar induction has proven itself in practice, it can be used as a ‎reference for describing the Navier-Stokes equations‎.