I recently came across the NS millennium problem and I read that uniqueness for the NS equations is unknown. I have two questions.(adsbygoogle = window.adsbygoogle || []).push({});

First question, if solutions are found to be non-unique, would the NS equations have to be corrected?

Second question, since uniqueness is unknown, if someone finds a blow-up solution would he or she have to prove that it's unique to answer the problem? (e.g. turbulent and smooth solution possible for exactly the same IC, BC, etc..? kinda strange.)

I'm curious what uniqueness means in relation to smoothness and turbulence. I'm not an expert in math so sorry if the answers are obvious. haha. Thanks in advance.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# What's the significance of non-uniqueness of solutions to Navier Stokes equations?

Loading...

Similar Threads for What's significance uniqueness |
---|

I What is term for DEQ that only has terms of a derivative? |

B What's the difference between 1000e^0.05t and 1000*1.05^t? |

I What does this line mean? |

I What is the propagation speed of a diffusion |

I What is the Result of this Partial Derivative |

**Physics Forums | Science Articles, Homework Help, Discussion**