**Author:**

Godoi, Valdir M.S.

**Category:**

Research Papers

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

August 31, 2016

**Keywords:**

Navier-Stokes equations, velocity, pressure, Eulerian description, formulation, conservative external force, equivalent equations, exact solutions, existence, inexistence, Cauchy, irrotational, potential flow, Bernouilli’s law

**Abstract:**

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.

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