It is proved that the solution to the Navier-Stokes problem (NSP) in the whole space  does not exist if the smooth rapidly decaying data are not equal to zero identically. This solves the millennium problem concerning the NSP. It also proves that the NSP is contradictory.

the Navier-Stokes problem.

Received: May 16, 2023; Accepted: June 20, 2023; Published: June 28, 2023

How to cite this article: Alexander G. Ramm, A counterexample related to the Navier-Stokes problem, Far East Journal of Applied Mathematics 116(3) (2023), 229-236.
http://dx.doi.org/10.17654/0972096023012 

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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