placeholder

Mathematicians Coax Fluid Equations Into Nonphysical Solutions | Quanta Magazine

The famed Navier-Stokes equations can lead to cases where more than one result is possible, but only in an extremely narrow set of situations.

Click to view the original at quantamagazine.org

Hasnain says:

“The new paper does not definitively settle whether Leray solutions are unique. Its conclusions rely on an external force crafted specifically to make non-uniqueness occur. Mathematicians would prefer to avoid the addition of a force altogether and prove that some set of initial conditions leads to non-uniqueness without any outside influence. That question is now perhaps a stone’s throw closer to being answered.”

Posted on 2022-05-03T16:17:00+0000