**Author:**

Godoi, Valdir M.S.

**Category:**

Research Papers

**Sub-Category:**

Mathematical Physics

**Date Published:**

January 13, 2016

**Keywords:**

Navier-Stokes equations, continuity equation, breakdown, existence, smoothness, physically reasonable solutions, gradient field, conservative field, velocity, pressure, external force, bounded energy, millenium problem

**Abstract:**

Considerations on (and solution to) the 6th millenium problem, respect to breakdown of Navier-Stokes solutions and the bounded energy.

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