# The Navier-Stokes Problem

```@inproceedings{Ramm2019TheNP,
title={The Navier-Stokes Problem},
author={Alexander G. Ramm},
booktitle={Synthesis Lectures on Mathematics and Statistics},
year={2019}
}```
• A. Ramm
• Published in
Synthesis Lectures on…
31 January 2019
• Philosophy
One of the millennium problems is discussed. The results of the author’s solution to this problem are explained. The problem discussed is the Navier-Stokes problem in the whole space.
7 Citations
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• A. Ramm
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Axioms
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The Navier–Stokes problem (NSP) in R3 without boundaries is proved that the NSP is contradictory in the following sense: if one assumes that the initial data v(x,0)≢0, ∇·v(X,0)=0 and the solution to the N SP exists for all t≥0, then one proves that the solution v (x,t) to theNSP has the property v( x, 0)=0.
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• A. Ramm
• Mathematics
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