Godoi, Valdir M.S.
Mathematics and Applied Mathematics
August 31, 2016
Navier-Stokes equations, velocity, pressure, Eulerian description, formulation, conservative external force, equivalent equations, exact solutions, existence, inexistence, Cauchy, irrotational, potential flow, Bernouilli’s law
We present two proofs of theorems on solutions of the Navier-Stokes equations for incompressible case with a conservative external force in n = 3 spatial dimensions. Without major difficulties, it can be adapted to any spatial dimension, n>=1.