Authors: Valdir Monteiro dos Santos Godoi
§ 1: remembering the need of imposed the boundary condition u(x,t)=0 at infinity to ensure uniqueness solutions to the Navier-Stokes equations. This section is historical only. § 2: verifying that for potential and incompressible flows there is no uniqueness solutions when the velocity is equal to zero at infinity. More than this, when the velocity is equal to zero at infinity for all t≥0 there is no uniqueness solutions, in general case. Exceptions when u^0=0. § 3: non-uniqueness in time for incompressible and potential flows, if u≠0. § 4: a more general solution of Euler and Navier-Stokes equations for incompressible and irrotational (potential) flows, given the initial velocity. § 5: Solution for Euler and Navier-Stokes equations using Taylor’s series of powers of t around t=0.
Comments: 7 Pages.
[v1] 2016-06-30 08:34:29
[v2] 2016-06-30 18:11:07
[v3] 2016-07-03 20:13:18
[v4] 2016-07-19 14:28:34
[v5] 2016-07-19 18:59:31
[v6] 2016-07-29 20:50:51
[v7] 2016-07-30 08:27:18
[v8] 2016-08-15 15:48:39
[v9] 2016-08-18 14:56:52
[vA] 2016-09-07 12:56:55
Unique-IP document downloads: 108 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.