**Author:**

Godoi, Valdir M.S.

**Category:**

Research Papers

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

June 22, 2016

**Keywords:**

Navier-Stokes equations, existence, inexistence, smoothness, gradient field, conservative field, velocity, pressure, uniqueness, non uniqueness, 15th Problem of Smale.

**Abstract:**

A most deep solution to the fifteenth problem of Smale, the Navier-Stokes equations in three spatial dimensions. The answer is negative.

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