Functions and Analysis


Breakdown of Navier-Stokes Solutions

Authors: Valdir Monteiro dos Santos Godoi

We have proved that there are initial velocities u^0 (x) and forces F(x,t) such that there is no solution to the Navier-Stokes equations, which corresponds to the cases (C) and (D) of the problem relating to Navier-Stokes equations available on the website of the Clay Institute. First we study these cases at t=0 and then at t≥0.

Comments: 27 Pages. See also viXra:1707.0155, "On a Problem in Euler and Navier-Stokes Equations", by Valdir M.S. Godoi

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Submission history

[v1] 2015-05-11 08:09:42
[v2] 2015-05-12 07:22:14
[v3] 2015-05-14 11:40:26
[v4] 2015-05-17 06:46:51
[v5] 2015-05-18 06:19:12
[v6] 2015-05-19 07:26:47
[v7] 2015-05-23 11:33:52
[v8] 2015-05-25 08:44:30
[v9] 2015-06-10 05:44:13
[vA] 2015-06-11 11:45:00
[vB] 2015-07-14 06:20:02
[vC] 2015-07-27 06:01:06
[vD] 2015-08-12 08:34:24
[vE] 2015-08-16 10:26:14
[vF] 2015-08-16 13:45:13
[vG] 2015-08-18 10:17:36
[vH] 2015-12-17 10:20:25
[vI] 2015-12-18 07:52:04
[vJ] 2016-01-26 05:30:49
[vK] 2016-02-12 05:16:48

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