Functions and Analysis


Three Examples of Unbounded Energy for t > 0

Authors: Valdir Monteiro dos Santos Godoi

A solution to the 6th millenium problem, respect to breakdown of Navier-Stokes solutions and the bounded energy. We have proved that there are initial velocities u^0(x) and forces f(x,t) such that there is no physically reasonable solution to the Navier-Stokes equations for t>0, which corresponds to the case (C) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute.

Comments: 53 Pages. Article (english version) published in J. Phys. Math (2016) 7: 196. The digitation or conversion of this paper in J. Phys. Math. need revision and many typographical corrections. I'm sorry.

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Submission history

[v1] 2016-02-20 06:15:20
[v2] 2016-02-22 07:08:59
[v3] 2016-02-24 05:40:26
[v4] 2016-02-26 05:25:06
[v5] 2016-02-27 15:37:55
[v6] 2016-02-28 19:38:15
[v7] 2016-03-02 08:16:10 (removed)
[v8] 2016-03-03 06:17:25
[v9] 2016-03-11 06:52:07
[vA] 2016-03-18 12:54:01
[vB] 2016-03-21 12:57:07
[vC] 2016-03-23 06:18:43
[vD] 2016-03-26 16:53:40
[vE] 2017-01-18 09:59:43
[vF] 2017-02-03 06:23:46

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